{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    }
   ],
   "source": [
    "%pylab inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/zhaom/works/spinal/python-deltasigma/examples/../deltasigma/_config.py:54: UserWarning: Cannot find the path for 'cblas.h'. You may set it using the environment variable BLAS_H.\n",
      "NOTE: You need to pass the path to the directories were the header files are, not the path to the files.\n",
      "  warn(\"Cannot find the path for 'cblas.h'. You may set it using the environment variable \"\n"
     ]
    }
   ],
   "source": [
    "import sys\n",
    "sys.path.append('..')\n",
    "from __future__ import division\n",
    "from IPython.core.display import Image\n",
    "from deltasigma import *\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "np.set_printoptions(suppress=True, precision=3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Delta Sigma modulator synthesis - example #1\n",
    "============================================\n",
    "\n",
    "Demonstration of the synthesis of an example delta sigma modulator,  as done in the `MATLAB Delta Sigma Toolbox`, employing its Python port `deltasigma`.\n",
    "\n",
    " * The **Noise Transfer Function** (NTF) is synthesized for a **5th-order**, **low-pass** modulator, having the following characteristics:\n",
    "\n",
    "     * A relatively low Over Sampling Ratio (OSR), equal to `32`, \n",
    "     * A 1-bit quantizer. \n",
    "     * Maximum NTF gain equal to 1.5.\n",
    "\n",
    " * For this example modulator, we select to implement the CRFB topology -- see below, for order being odd -- with a single feed-in, ie $b_n = 0\\ \\forall n > 1$ ."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<img src=\"http://python-deltasigma.readthedocs.org/en/latest/_images/CRFB.png\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image(url='http://python-deltasigma.readthedocs.org/en/latest/_images/CRFB.png', retina=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Set up the parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "order = 5\n",
    "osr = 32\n",
    "nlev = 2\n",
    "f0 = 0.\n",
    "Hinf = 1.5\n",
    "form = 'CRFB'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Synthesize the NTF"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Synthesized a 5-order NTF, with roots:\n",
      "\n",
      " Zeros:\t\t\t Poles:\n",
      "(1.000000, 0.000000j)\t(0.806557, -0.119823j)\n",
      "(0.998603, 0.052839j)\t(0.806557, 0.119823j)\n",
      "(0.998603, -0.052839j)\t(0.898071, -0.219819j)\n",
      "(0.996045, 0.088847j)\t(0.898071, 0.219819j)\n",
      "(0.996045, -0.088847j)\t(0.777767, 0.000000j)\n",
      "\n",
      "The NTF transfer function has the following expression:\n",
      "\n",
      "      (z^2 - 1.992z + 0.9999) (z^2 - 1.997z + 1) (z - 1)     \n",
      "-------------------------------------------------------------\n",
      " (z^2 - 1.613z + 0.665) (z^2 - 1.796z + 0.8549) (z - 0.7778) \n",
      "\n"
     ]
    }
   ],
   "source": [
    "ntf = synthesizeNTF(order, osr, 2, Hinf, f0)            # Optimized zero placement\n",
    "print (\"Synthesized a %d-order NTF, with roots:\\n\" % order)\n",
    "print (\" Zeros:\\t\\t\\t Poles:\")\n",
    "for z, p in zip(ntf[0], ntf[1]):\n",
    "    print (\"(%f, %fj)\\t(%f, %fj)\" % (np.real(z), np.imag(z), np.real(p), np.imag(p)))\n",
    "print (\"\")\n",
    "print (\"The NTF transfer function has the following expression:\\n\")\n",
    "print (pretty_lti(ntf))\n",
    "print (\"\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Graphical inspection of the synthesized singularities"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plotPZ(ntf, showlist=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Realize the NTF with the CRFB topology and create the ABCD representation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ABCD Matrix:\n",
      "[[ 1.     0.     0.     0.     0.     0.001 -0.001]\n",
      " [ 1.     1.    -0.003  0.     0.     0.    -0.008]\n",
      " [ 1.     1.     0.997  0.     0.     0.    -0.063]\n",
      " [ 0.     0.     1.     1.    -0.008  0.    -0.244]\n",
      " [ 0.     0.     1.     1.     0.992  0.    -0.802]\n",
      " [ 0.     0.     0.     0.     1.     0.     0.   ]]\n"
     ]
    }
   ],
   "source": [
    "a, g, b, c = realizeNTF(ntf, form)\n",
    "b = np.hstack(( # Use a single feed-in for the input\n",
    "               np.atleast_1d(b[0]),\n",
    "               np.zeros((b.shape[0] - 1, ))\n",
    "             ))\n",
    "ABCD = stuffABCD(a, g, b, c, form)\n",
    "print (\"ABCD Matrix:\")\n",
    "print (ABCD)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1080x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "DocumentNTF(ABCD, osr, f0)\n",
    "f = gcf()\n",
    "f.set_size_inches((15, 6))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Typical spectral characteristics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1080x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure(figsize=(15,8))\n",
    "PlotExampleSpectrum(ntf, M=1, osr=osr, f0=f0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([1.   +0.j   , 0.999+0.053j, 0.999-0.053j, 0.996+0.089j,\n",
       "        0.996-0.089j]),\n",
       " array([0.807-0.12j, 0.807+0.12j, 0.898-0.22j, 0.898+0.22j, 0.778+0.j  ]),\n",
       " 1)"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ntf"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Signal to Noise Ratio analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "snr, amp = simulateSNR(ntf, osr, None, f0, nlev)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure(figsize=(15,8))\n",
    "if nlev == 2:\n",
    "    snr_pred, amp_pred, k0, k1, se = predictSNR(ntf, osr)\n",
    "    plot(amp_pred, snr_pred, '-', label='predicted')\n",
    "    # hold(True)\n",
    "plot(amp, snr,'o-.g', label='simulated')\n",
    "xlabel('Input Level (dBFS)')\n",
    "ylabel('SQNR (dB)')\n",
    "peak_snr, peak_amp = peakSNR(snr, amp)\n",
    "msg = 'peak SQNR = %4.1fdB  \\n@ amp = %4.1fdB  ' % (peak_snr, peak_amp)\n",
    "text(peak_amp-10,peak_snr,msg, horizontalalignment='right', verticalalignment='center');\n",
    "msg = 'OSR = %d ' % osr\n",
    "text(-2, 5, msg, horizontalalignment='right');\n",
    "# hold(False)\n",
    "figureMagic([-100, 0], 10, None, [0, 100], 10, None, [12, 6], 'Time-Domain Simulations')\n",
    "legend(loc=2);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Dynamic range scaling\n",
    "\n",
    "Keep the integrator outputs within their working range -- to avoid waveform clipping and instabilities.\n",
    "\n",
    "The ABCD matrix is scaled opportunely, then the effectiveness of the dynamic range scaling is verified and the state maxima are plotted for different amplitudes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Doing dynamic range scaling... Done.\n",
      "Maximum input magnitude: 0.583\n"
     ]
    }
   ],
   "source": [
    "print ('Doing dynamic range scaling... ',end=\"\")\n",
    "ABCD0 = ABCD.copy()\n",
    "ABCD, umax, S = scaleABCD(ABCD0, nlev, f0)\n",
    "print ('Done.')\n",
    "print (\"Maximum input magnitude: %.3f\" % umax)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Verifying dynamic range scaling... Done.\n",
      "Maximum DC input level: 0.583\n"
     ]
    }
   ],
   "source": [
    "print ('Verifying dynamic range scaling... ',end=\"\")\n",
    "u = np.linspace(0, 0.95*umax, 30)\n",
    "N = 1e4\n",
    "N0 = 50\n",
    "test_tone = np.cos(2*np.pi*f0*np.arange(N))\n",
    "test_tone[:N0] = test_tone[:N0]*(0.5 - 0.5*np.cos(2*np.pi/N0*np.arange(N0)))\n",
    "maxima = np.zeros((order, u.shape[0]))\n",
    "for i in np.arange(u.shape[0]):\n",
    "    ui = u[i]\n",
    "    v, xn, xmax, y = simulateDSM(ui*test_tone, ABCD, nlev)\n",
    "    maxima[:, i] = xmax[:, 0]\n",
    "    if (xmax > 1e2).any(): \n",
    "        print ('Warning, umax from scaleABCD was too high.')\n",
    "        umax = ui\n",
    "        u = u[:i]\n",
    "        maxima = maxima[:, :i]\n",
    "        break\n",
    "print ('Done.')\n",
    "print (\"Maximum DC input level: %.3f\" % umax)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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tIjg4GFAD4/Ly8vMcofnj6po+fTqHDh3iwIEDREZG8tprr7Vq/pIkSZIk2ZlJD8eWq539Pg+DxJfBOxJmfA1TP1VTK+rqRC2sq6hiC5v4gPc5QxrDGYEj9bs6O+LINNoW6B5aqmXliyEU5nshBBTme7HyxRAOLdW26bj2cNGtQC89CLFrodySupNapD4GaG0zwqysLPz8/HB2dgbAz88PgPfff5/MzEymTJmCn58f8fHxPPjggyQmJlJRUcHs2bN5+eWXbY7bsGEDL774Inq9vmZ12cPDo955Z8yYUXN/woQJfPdd6/KOJEmSJEmyk7yDkPQppHwJlXlqGsXYF2DgvPpNSrSOtlMtMhM6aOKqFJJZx1ryyWcYw7mCmXjiRQT927UKR05OGfd/eJqyqXdw4IM6dagVA3/9dHObOkbbQ7cLoP/2M+xronrL9nTQm+pvK6+Ce1bDx3ts7zOiJ7x7RePHnDFjBq+88gqRkZFMmzaNOXPmMHnyZB599FHeeecd4uPja4LquLg4fH19MZlMxMTEcODAAatxubm5LFiwgE2bNuHu7s4bb7zBO++8wwsvvNDoHD777DPmzJnT+CQlSZIkSbow9EVw7Gs48imcSwSNE/S7Hgbdo14AqLGxotrJGpMUUch61pHEYfzwYx5304/wmueHM6JNAbMQgl17zrJ8XRrrtuWSlGWAmVeCU4MmLk5O5I2Y2Orz2Eu3C6DPp2HwfL7tzeHh4cHu3bv59ddfiY+PZ86cObz++uvMmzfPauzy5ctZuHAhRqORrKwskpKSGDZsWL0x27dvJykpiUmTJgFgMBiYOLHx/3ni4uJwcHBg7tzO8wdPkiRJki4qQkDWr+pq84lvwVgBPaLg0nfVwNjVr6Nn2CwmTGzjDxLYgkAwjRlcwiQcGoSMSw/C/C2QVgQhOoibav1JvhCQXQanCuBUISSfM/JHUglJmUayDQ6Y3APAoRdMqLODLTpdu7/OtrJrAK0oykzgPUALfCKEeL3B86HAZ4A/kA/cJoRIb8s5m1opBjXnObXIenuoDhLubP15tVot0dHRREdHExUVxZIlS6wC6FOnTvHWW2+RmJiIj48P8+bNo7Ky0upYQgimT5/OV199dd7zLl68mLVr17J582aUll6dK0mSJElSyzRseDLyKagqgSOfQdExcPKCAXeoq80BY1peOaMDneYUa1nNOc4xkIFcyTX44GM1zlY67N2rYU0y+LqpAfPpIjhdCJX1KtM5QKkj2uJyerlVMMzXQPRwHcNDXOjrDRM/qiLPaN1GvIdjFdCM9uIXkN0CaEVRtMCHwHQgHUhUFGW1ECKpzrC3gM+FEEsURZkKvAbcbq85gfobUt03HcDNUd3eWsnJyWg0Gvr37w/Avn37CA0NBcDT05OSkhL8/PwoLi7G3d0dnU5HdnY269evJzo62mrchAkTeOihhzh+/DgRERGUlZWRkZFBZGRkvfP+9NNPvPnmm2zdurVF1TskSZIkSWoFWw1Pfn1YvR90OYz5PwifDY5d69/kUkrZwE/sYy/eePNnbmMggxodP39L/TgKwGCCb5LA10XQQ2tAFBTgcjyTylNnoaCQfr5wzaUBXH91OJdeGoKjo3Uay3vXOnH3SjMGUVvjwkkx8961nSt4BvuuQI8DjgshTgIoivI1MAuoG0APBh633I8HS79GO6r+eOF8Hzu0RGlpKY888giFhYU4ODgQERHBwoULAYiNjWXmzJkEBQURHx/PyJEjGThwIMHBwTUpGrbGLV68mFtvvRW9Xg/AggULrALohx9+GL1ez/Tp6lWvEyZM4H//+1/rX4gkSZIkSSohoPQM5CdBwREoSIKjX4BZbz3WLQj+tPXCz7GNzJjZRSKb2EAVVVxONJczGafzrPamFgnAxsq6EBj+8TrHSg04O2uZMqUvV9/en6uumki/ftYr2Q2psZimQYymaVOMZi+KaCzfpK0HVpTZwEwhxL2Wx7cD44UQD9cZswzYIYR4T1GUG4DvAT8hRF6DY8UCsQD+/v6jly9fXu9cOp2OiIgIu7yO7uD48eMUFdnIW+lgpaWlVpVFpK5Jvpfdg3wfuw/5XqoCCjfR79wnOFedQ+8YwMmAeznnPa3+IGHC1ZCFmz4Vd30qbvrTuOnTcDekojXXplkatDocTUW2wkYECluHbLHLa7DXe1nsWURy/6OUeBXjU+BL5LGBuJe7N7lPocGRd4/3Z2tuQCMDCrn2+HImTPBl5EgfXF07X/m5lpoyZcpuIcSYhts7+iLCJ4EPFEWZB/wCZABWl/MJIRYCCwEGDBggqtMeqh05cgRPT097z7XLcnFxYeTIkR09DSsJCQk0fC+lrkm+l92DfB+7D/leoqZbJP+rJt3CpSqbwWffZrBvMbj0qF1VLkxRazRXc+8NfoPA9wrwGQS+g8FnEE6u/rAkzGbXQMUjxG4/77a+l/vZV6/c3GSiOUsWu0nEHXduYg5DfaJQxjWdq/3DEbh/raCgQsDBQzAgsn7FDIMBNm9m9f7YVs+1K7FnAJ0BBNd53MeyrYYQIhO4AUBRFA/gRiFEoR3nJEmSJEnSxWDbc7W5ytVMlXDw34ACXn3VADlkpnrrMxh8BoJzExUfJsbVz4GGTtXwpKH97GM1K6lCTVguopDVlmzZCVzCVGJwwaXJY2QXm5jzeRlb871QzmYjvl+BQ34uxkGDYVqMWiGjqAg2bSa0+Iy9X1KnYc8AOhHoryhKX9TA+Rbgz3UHKIriB+QLIczAs6gVOSRJkiRJklqn4CgkfaJWybBJgdjS1l3oV12n2VbDk06oOre5IQ88uIqrG91PCMGePVm8/FUmP2oHYnZxxzXxN+7sV8K81ddy/Hg+sbFrKT94qGYfNzdH4hZea5fX0RnZLYAWQhgVRXkY+Bm1jN1nQojDiqK8AuwSQqwGooHXFEURqCkcD9lrPpIkSZIkdVPGCjjxHRz+WK3FrHEAB1d1e0MeIW2rktHJGp5UM2MmjzwyySCDDDLJoAjb1z+VUmpze1paEUuXHmDx10dJ6TcWRo7Bq6KQlwam8dD8iTg5qTnN48f3ARTmz99MWloRISE64uJiOl23QHuyaw60EGIdsK7Bthfq3P8OkP2nJUmSJElqudz9kPQxJH8JhiLQRcDE12HAnZCxuUulW7SEGTP55JNpCZQzyCCLTAwYAHDEkZ70wgmnmm116fCuuV9crOe775L44osDJCSchohwnG76MxoXNx4bU8WrV3jjpPW2OsbcuVF2CZgPLl3K5vnzKUpLQxcSQkxcHFGdsFFcR19EKEmSJEmS1HyGEjj2lRo4n9sFWmfodyMMuQ+CJtc2Luli6RYNL/abxnSGMwKBqFlZrhss61EvfHTAgZ70YiSjCKI3QfTGDz+0aNnPPn4w/oBwqK3PoBi1TCGGH39O4YsvDrBqVTKVlUb6DQ5k9Mv3sZsgwv1gySwY29vxgv4MDi5dyprYWKrK1V96ilJTWROrXpTY2YJoGUC3k7i4OJYtW4ZWq0Wj0fDRRx8xfvx43n33XWJjY8/b6KS54+p6/vnnWbVqFRqNhoCAABYvXkxQUFBbX4okSZIkdS5CQPYONWg+9g0Yy8B3KFz6Hgy4DVx8be/XSdMtGrJ1sd8KvucXtlIwKZ94NgFqsBxIT4YxnN70Jog++OOPFtvl4g4t1bJ2k5ZJL5rQhUBRGmx9XuFfq36ipKSKHj1cueeekQy8aiz/PObH3mKFpyfCy9Hg0gER4ubnnqsJnqtVlZezef58GUB3Bo39ltda27ZtY+3atezZswdnZ2dyc3MxGNSPTN59911uu+22ZgXQzRlX11NPPcU//vEPAN5//31eeeUV2UhFkiRJ6j4q8yH5C/WiwPxD4OAO/W+BwfdB4Lgu1Sa7KZvYaHWxn5qmkUdgTk/GBo0liN4EENhosGzL/PmbSU2FPYvrN0ZxcxOsWnULl06N4PlftDyyCyJ7wG/zYGKw7WPZi9lk4swff3B05UqK0mxf+NnY9o500QXQTZV0aW0QnZWVhZ+fH87OzgD4+fkBalCbmZnJlClT8PPzIz4+ngcffJDExEQqKiqYPXs2L7/8ss1xGzZs4MUXX0Sv1xMeHs6iRYusCql7eXnV3C8rK0PpJn+RSJIkSReZlKV1Ui2CYcDtUHwKTn6v1mgOGAvRC9Xg2al79X0opZQiCm0+Z8LEwJTBjA4a2+LjpqUVkZpq+yLCigoj3sMHMHYRnCqAx8arXZldL1DGRlVFBSc3buToypWkrFlDeW4uWicnHFxcMFZWWo3XhYRcmIm1QLcLoNfxI2fJavT5M6RhatCrpYoqVvIDu9llc5+e9Gqy3MuMGTN45ZVXiIyMZNq0acyZM4fJkyfz6KOP8s477xAfH18TVMfFxeHr64vJZCImJoYDBw5YjcvNzWXBggVs2rQJd3d33njjDd555x1eeOEFq3PPnz+fzz//HJ1OR3x8fHN+RJIkSZLUeaQsrX+xX2ka7I4Drau60jz4XvAb3rFztAMDBrbxO7/yS6Nj6l7s11w7dqTzzjvb+f77JHVD1ND69Zrj4/GIDCN6CfTzga13wmWhrXwRLVCel0fK2rUkr1zJiQ0bqCovx1mnI/LqqxkwaxYRM2eSsmZNvRxoAEc3N2LiOt+Fn90ugD6fhsHz+bY3h4eHB7t37+bXX38lPj6eOXPm8PrrrzNv3jyrscuXL2fhwoUYjUaysrJISkpi2LBh9cZs376dpKQkJk2aBIDBYGDixIk2zx0XF0dcXByvvfYaH3zwAS+//HKrX4ckSZIkNaneSnELLsoTAirOQUkalKSq+5ekqo9TfwSzda1iXP3g8n+3/2voYGbMHGA/m9hIMUUMYhAhhLKFzfXSOBxxZBrTKWhkdbouo9HMihVH+Ne/trNtWzo6nTOPPz6Rs/59+aI4BBwtKRze3nD99ZQoCg+PhddjwN2pyUO3ScGpUySvWsXRlStJ+/VXhNmMZ+/ejLjrLgbMmkXY5Mlo63QzrM5zllU4OkBTK8UAb/NPmx+V6PDmbu5t9Xm1Wi3R0dFER0cTFRXFkiVLrALoU6dO8dZbb5GYmIiPjw/z5s2j0sZHFUIIpk+fzldffdXs88+dO5errrpKBtCSJEmSfVitFKeqjwHCb4LSdOvguCTVsu2M2gWwLkcP8Ay1HTyDerxu5hQn+Yn1ZJFJEL25kZvoS18APPC0eX1WAgmNHq+oqJJPP93L++/vIDW1iPBwH95/fyZ33TUSDw8nwt4DGqZlKAoB7vDvK9v2WmyVmxv65z9zdt8+jq5cSfKqVWTv3w9AwNChXPrccwycNYteo0c3mXIaNXdupwyYG+p2AfT5TGN6vRxoqP0tr7WSk5PRaDT0798fgH379hEaqn4e4unpSUlJCX5+fhQXF+Pu7o5OpyM7O5v169fX9LevO27ChAk89NBDHD9+nIiICMrKysjIyCAyMrLeeY8dO1ZzzlWrVjFw4MBWvwZJkiRJatK2+datsY3lsOlO2Hg7IOo/59ZTDZD9RkDfWeAZoj72DFVXr5291YsAl4SpwXhDHp0v77W1cshhAz+RzFF06LiRm4hiGBo0NWOGM6LZ12KdOlXA++/v4NNP91JSYuDyy0N5992ZzLgykuR8Dd8eh31noZEUaHLK2vZ6bJWbWzlvHusffZSK/HxQFEIuvZTpb73FwFmz8I2IaNsJO6GLLoCu/p+zPatwlJaW8sgjj1BYWIiDgwMREREsXLgQgNjYWGbOnElQUBDx8fGMHDmSgQMHEhwcXJOiYWvc4sWLufXWW9Hr1TqPCxYssAqgn3nmmZrgPTQ0VFbgkCRJktpfVTmcXm07yAUQJhj7Ym1g7BkKHn3AwaV5x58Y120bnpRRRjyb2UWiZbFuBhO5BEerZeHzE0Lwxx9n+Ne/trNixVEUdzei51xK1Ixh5DnqeOEs3PRPMJrV8e6O4KQFg40M1RBd217X5vnzrcrNmY1GqioquO7TT4m85hrcAwLadpJOThFCnH9UJzJgwACRnJxcb9uRI0cYNGhQB82o8+usP5+EhISaFXipa5PvZfcg38fuo83vpdkEmVvVEnInvoeqElC0arDckEco3Hm69eeC1udWd1JVVLGdbfxCAlVUMYaxRDMVDzwa3WfpQZi/BdKK1AA3birMjYING7eQlNWHD79P43ipE47BQbiE9aFEU/sLSm9PGNEThgeqtyMCIdwXvjoEsWuhvE6WjJsjLLxGPXZrvazRqHntDSkKL5rNrT9wJ6Qoym4hxJiG2y+6FWhJkiRJkhqRd1ANmlOWQVkGOHpC+Gy1WUlpBmx9wD4rxV2k4cn5mDFziINsZANFFDKAgczgCvxpejV26UG4e6UZg1BTOlKL4I4Vgr+uqCDfMAnh5AyjI9Eg6O8nGNVLUxMwDw8Ef3fbx60Okm0F5m3h1qMH5bm5Vts7Y7k5e5EBtCRJkiRdzEoz1IA55UvIOwAaBwiZCZPehr7XgYNr7ViNplutFLen05zmZ9aRQQa96MWfuIF+hJ93v3Nl8MAqIwZRPyQzo5BndML/zCFundKT26cHMjRQwcWhZT0f5ka1PWCu6+iqVZTn5aFoNIg6q82dtdycvcgAWpIkSZIuNoYSOPmDutqcvgUQEDgeLvs39J8Drv629+smK8Vt0bCb8QQmkEYaR0jCCy9uYDbDGF7vAsG6zAJ2Z8K647DuGCRmCkRj4ZhWy/K7ComOHmG/F9QCx9av59ubbqL3uHGMuvdeflmwoNOXm7MXGUBLkiRJUjcTULgJlsyrv1IcfjOc2QgpX8CpVWCsAK9+MOZ5GDAXvCPPe9yLna1uxj/zE1q0TGUalzAJJ6wLKxdWwsaT8OMx+DHZTG6lmkPskpeN2J8E48aCp40Oi0WNlNHoAKe2bGH5DTcQMHQoc9evx9XHh1H3tr78b1cnA2hJkiRJ6k5SljIg8y0QahUnSlNh0zxIeFC9GNDZFwbOg8jboOdEtZSc1CSBoJBC1vNjvTK41dxxJ5opteMFJOXA2mOCFQeNJJ5zwIyCRl+JOfkYHDuGR/YZLh/tz+SrQ4lbs5XiyTOgTlMRDAZ67NsG17lane9CS/vtN7669lp8IyK4fcMGXH18OnpKHU4G0JIkSZLUUdpafcJsBH0h6POh0vL961/RVgfP1YRRraBx5UoIvRK0dmw/18WZMJFHLllkkUUmWWRxliwqqGh0n2KKKa+CzScFS3dVsvGUhnyzM6BAVh4cO4ZXdhrREY5MmRzC5c9NZPjw69Fq1TSP3r0Pcte/1lF1eXRNy23HXxJ477FwIO+CvO7GpO/YwdKrrsIrOJjbN23Czc+vQ+fTWcgAup3ExcWxbNkytFotGo2Gjz76iPHjx/Puu+8SGxuLm5tbk/s3d5wtb7/9Nk8++SQ5OTn4yf+xJUmSugZbnf223AsFKRAwpjYornebV3+boQUf8RsroN8s+7yWTqphvnLDvg9VVHGO7JpAOYsssjlbs8rsgAOBBDKEofQiiJVlG9C6WwfSxQVeeL5nwqzRgl4LJ0/ilZ3G5KAqZl4SwOSHBzBo0KVoNLZX++darvKbP38xaWlFhIToiIuLYe7cKBISEtr959JcWXv28OUVV+Du788dmzfjERjYYXPpbC7OALqd601u27aNtWvXsmfPHpydncnNzcVgMABqYHzbbbc1K4BuzriGzpw5w4YNGwi5iErHSJIkdQt//N26s5+pEna9Un+bogFnHzX1wqUHuAWCzyBw8bVsa3C7/gYoz7Q+Xzfq7NcctvKVV/IDx0hBg4YsMskhBzNqJQkXXOhJL8Ywjl70ohdB+OGHFm3NMe9ZZeKq2T/j5FSbxmEwOLJp83Tck/Yzzqec2WPdiZkXQkTEgCZbVjc0d25UTSDdGZw7dIgvZszARafjji1b8Ordu6On1KlcfAG0rd/442PV+60MorOysvDz88PZ2RmgZhX4/fffJzMzkylTpuDn50d8fDwPPvggiYmJVFRUMHv2bF5++WWb4zZs2MCLL76IXq8nPDycRYsW4eFhXYD9scce480332TWrItrVUGSJKlLEmZI2wCH/6fWWbZJgZt21gbFTl5qEN1ck97EtOme+mkc3aSzX3OoKRh5NvOVTZg4wH488KAXQQxgUE2w7IMPCo0HvPvOwsFjEzCvcWVqzEZ0ukKKirzZsnk6hw8PRyzvPrnkuUeP8nlMDA7OztyxZQveoaEdPaVOp/sF0L/+DXL3Nf589nYwNcgNM5bDlnvg8Me29/EbAZe92+ghZ8yYwSuvvEJkZCTTpk1jzpw5TJ48mUcffZR33nmH+Pj4mqA6Li4OX19fTCYTMTExHDhwwGpcbm4uCxYsYNOmTbi7u/PGG2/wzjvv8MILL9Q776pVq+jduzfDhw8/749FkiRJ6kDl5+DIZ5C0EIpPgWsAOHpBVbH1WI8QNYWjtSLnkpx0hMFFX3bres0mTBSQzznOcY5sy+058sjFhI2OiXU8zbPNOkeVCX44Cu/8ZmRnthoyHT48gsOHR9Qbpy0rBrxa8zI6nfwTJ/g8JgaAOzZvxjf8/LWsL0bdL4A+n4bB8/m2N4OHhwe7d+/m119/JT4+njlz5vD6668zb948q7HLly9n4cKFGI1GsrKySEpKYtiwYfXGbN++naSkJCZNmgSAwWBg4sSJ9caUl5fz6quvsmHDhlbPW5IkSbIjISDzF3W1+cT3YK6C3lNgwuvQ73o48W39T0Sh3VaKz3lPY/D1C9p8nAulqVxlM2YKKKgJknMsAXMuuRgx1hzDBx/8CSCSAQQQwAZ+opRSq3Pp8D7vfM6Wwsd74L+JgqwyBaWgBM2uRAb29SQpdDQ41rkIs8pAbL9CukMAXZiayudTp2LU65mXkIDfwIEdPaVOq/sF0E2sFAOwJExN22jIIxT+lNDq02q1WqKjo4mOjiYqKoolS5ZYBdCnTp3irbfeIjExER8fH+bNm0dlZaXVsYQQTJ8+na+++qrR8504cYJTp07VrD6np6czatQodu7cSc+ePVv9OiRJkrq0dr7GpVUqCyD5czVwLjgKzt4Q9RAMuR986gQk1fPq6Pl2MFu5yiv4np3swIiRXHLqpWLo8CaAAMKJIIBAAgjAnwCr+ssKSr3jAjjiyDSm25yHELAjAz5IhOWHBVVmBafU0/DrNm4a7cxrS6bSr58Pf/lfGgtPemNy90RbVkJsv0L+80DXzy8vzsjg86lT0RcXc8fmzQQMHdrRU+rUul8AfT4T49r9N/7k5GQ0Gg39+/cHYN++fYRa8oU8PT0pKSnBz8+P4uJi3N3d0el0ZGdns379eqKjo63GTZgwgYceeojjx48TERFBWVkZGRkZREbWFrmPiori3LlzNY/DwsLYtWuXrMIhSVLXYI9A1w7XuDSbEHAuEQ79F459rV4MGDgeYhZDxM3122HXJTv78TPrrXKVzZhJ5wz9CGcs4yxBshosO+PcrONWr2A3VYUDoNII3xxWA+ddmeCqMeGedIjCDb8ycagH/1w6nbFjay+g+88DIfyn5pEX3WHluTQ7m89jYijLyeH2jRvpNWpUR0+p07NrAK0oykzgPUALfCKEeL3B8yHAEsDbMuYZIcQ6e87JHr/xl5aW8sgjj1BYWIiDgwMREREsXLgQgNjYWGbOnElQUBDx8fGMHDmSgQMHEhwcXJOiYWvc4sWLufXWW9Hr1dSSBQsW1AugJUmSuqxGy7clQ9DlavBprLTcVtR/3NT99M22r3H59a/q3/VefcGtF2i01nNqLUMpHFsGh/4HuXvBwR0G3qmuNvuPbL/zdDN69BxkP7tItJlmAWrzkju5q03nGc4Iq4C52pki+O8u+Hgv5JZDmHsVfZMSObViK2HhXnyxeAZXX92/RZU0uqLy3Fy+mDaN4jNnuO3nn+kzfnxHT6lLUIQQ9jmwomiBFGA6kA4kArcKIZLqjFkI7BVC/FdRlMHAOiFEWFPHHTBggEhOTq637ciRIwwaNKidX0H30Vl/PgkJCTUr8FLXJt/L7uGCvY9LgqE0vXX7KhrQuoKDC2gt39X3c3aff3+NY20w7RUGnpZbr77gGQZuPW135mu4Yj70fig9A8lfqt39ekTB0AfVxRinjl+R7Ix/JgWCTDLYRSIHOYABAwEEUkwxlTaalOjw5gmeatM5lx6E+VsgrQhCdBA3BXp7wb93wkpLKDElyID+lz/47fOt9OrlwSuvTGHevBE4OLSg8okd2fO9rCgo4POYGHKPHOHPP/5I36lT7XKerkxRlN1CCKureu25Aj0OOC6EOGmZwNfALCCpzhhB7WcfOsBG4UpJkiSpW6jMh/3vNhE8K/CnX2wHx9X3NU38s9XYNS5uQRDzGRSfhpJTltvTcGo1VJyrP1brAp6h9YPrknQ48om6yg3qObY/B4oWIv+sBs6BE2RL7EZUUlmz2pxFFo44MpQoxjCWPgRzgP0tylVurqUHIXYtlFsOm1oEt69UAw9fV3hwmIGiTb/x1cu/4erqyD/+MYXHHpuAu/vF0aVRX1zM0pkzyTl8mFtWrZLBcwvZM4DuDZyp8zgdaPi5wEvABkVRHgHcgWl2nI8kSZLUESpyYN87cPADqCpV84GNNtoie4RA0KWtP09j17hMehNCrrC9T1W5GkxXB9XFp2pvz+1SO/81xq0XTPu89fPtxgSCDNJrVpurqCKQnlzDtQxjBC641Ixtbq5ySxRVwpMbaoPn2nmBr4vgoYrf+Ndtv1FZaeSBB8bwwguTCQhwb/X5uhpDWRnLrr6arD17uOm774iYObOjp9Tl2DOFYzYwUwhxr+Xx7cB4IcTDdcY8bpnD24qiTAQ+BYYKIcwNjhULxAL4+/uPXr58eb1z6XQ6IiIi7PI6uoPjx49TVNSCdq8XSGlpqc3mMFLXI9/L7qG930enqnyC874hKH81GqHnnNcU0vxvw73yBAMy36rX6MOkOJMc9CTnvNu2jhJQuIl+5z7BueocescATgbc26Zjak3lXHr0apvtNQQKW4dsaf1k7aij/kwatVWcDTxLZlA6pR6laE1aArJ70jurN54lXk02Kmkpg1lDRoUL6RVupFe4cqZcvU2vcKOgqolVZCHgpVe47DI/7ruvL8HBLesAfKG193tp0us59OyzFO7fz+Dnn8e/k6X6dDZTpkyxmcJhzwB6IvCSEOIKy+NnAYQQr9UZcxg1yD5jeXwSmCCEOGfjkIDMgW6Nzvrz6Yw5elLryPeye2i397E0A/a+CYcXgtmg5gWPfq5+CbfOUG6uuZoqf3rn6Qs9m2a5kH8mBYIznGE3iRziIFVU0cvSEjuKYfVWmxtjlas8FeZGgcmspl6k5Fm+82vvpxWpK8rVAt0hsofl2xcWxBspMVt/0O5QWszW64u45JLgdvwp2E97vpdGvZ5vrr+e4z//zJ8+/5xht93WLsftzjoiBzoR6K8oSl8gA7gF+HODMWlADLBYUZRBgAuQY8c5SZIkSfZSnAp734CkTwEzDLgDRj0L3jY+IexK5dvsUP60q6rb8MQLHX3pSxZZnCMbJ5wYzgjGMJYgep//YBZLD0LsGii39ERJLYI7V8LTGyG3Agx1mgp6OasB8qRguGuEer+/r/qtqxOnl5YaiPv7BoieAU51VqMNBrwSf+eSN69s08+hKzm4dCmb58+nKC0NBxcXjBUVXPvxxzJ4biO7BdBCCKOiKA8DP6OWqPtMCHFYUZRXgF1CiNXAE8DHiqI8hvqL5DxhryVxSZIkyT6KTsKe1+DoYkCBQXfDqGfUC/C6A9nwBLBueFJMEfvZhzfeXMf1RDGs2TWay6tg2xnYmgpv/gH6Bp23TQIKKuFv42tXlCN7QIC79bWaBoOJgwezSUzMZOfODHbuzODIkVzMZgHFepgWAzodFBXBps0UHDoEXBwB9MGlS1kTG0tVufrLn7GiAo2jI46ujdQll5rNrnWgLTWd1zXY9kKd+0nApIb7dUVxcXEsW7YMrVaLRqPho48+Yvz48bz77rvExsbi5tZ0jlVzx9X10ksv8fHHH+Pv7w/Aq6++ylVXXdWm1yFJktRshSmw+1W1lJvGAYY8ACOfBs+u8dF4i3SlFfN2IhDkkUc6Z2ouCDRhsjEOxjC2yWOVGuAPS8C8NRV2ZkCVGTQKmBtZNqs0whsN0tfNZsGxY/ns3JlBYmIGO3dmsndvFnpLBO7v78a4cb25+eYhfPjhTs4dPAQHD9U7Rkiortk/gwup7kqxLiSEmLg4ouY2/v+cEIKK/HxKMjOtvkstt5m7dyNM9d8zc1UVm+fPb/LY0vldfJ0Iafn/pOezbds21q5dy549e3B2diY3NxeDwQCogfFtt93WrAC6OeMaeuyxx3jyySdbPXdJkqQm2cpV9hsJuxbA8W9A6wzDHoWRT4F7r46ebZdTNyWiPapPtEUZZWSQTjpnSCedDNKpsNRndsLJZvAMauvthor18HtabcC8KwuMZtAqMCYIHpsA0aEwKQSG/U9N22goRAdZWSU1q8qJiZkkJmZSWKiWE3R3d2T06CAeeWQc48b1Zty43oSE6Goan4SH+xIbu4byOqU43NwciYuLaeNPqv01XCkuSk1l9b33kn34MHnAbzt21AuMq79NllijLldfXzyDgvAMCrIKnqsVpaXZ8+VcFC66ANrW/6RrYtVWr60NorOysvDz88PZWf3oqrqd9vvvv09mZiZTpkzBz8+P+Ph4HnzwQRITE6moqGD27Nm8/PLLNsdt2LCBF198Eb1eT3h4OIsWLZJVDiRJurBsdQzcdCcIk9pxb8STMOIJcAvo2Hl2UQ1TIoooZDUrAdocRJ8NyOJt/tloYF5FFWfJIr1OwFxAPgAKCgEEMpgh9KEPfQjGnwD+xds2g2Ud3hRWwm91AubdWerKsqMGxgbBUxMhOgwuCQaPBgUyrnJO479VPcGxfq5yztc/EfS3vQA4OGgYNiyQOXOG1ATLgwb5odU23uxk7twoAObP30xaWhEhITri4mJqtncmm555piYuqWasrOT319S6C0cBZy+vmsA45NJL8bDcr/fdqxcOLrXJ4O+GhVGUan0BrC4kxK6v52Jgtyoc9nK+Khw//e1vnN23r9H907dvx6TXW23XOjvTZ8IEm/v0HDGCme++2+gxS0tLufTSSykvL2fatGnMmTOHyZMnAxAWFsauXbtqgur8/Hx8fX0xmUzExMTw/vvvM2zYsHrjcnNzueGGG1i/fj3u7u688cYb6PV6XnjhhXrnfemll1i8eDFeXl6MGTOGt99+Gx8fH6v5ySockr3J97ITaIeqFjXvo9mo1j/+ZiSUZ1kPdPKC206Aq1/7zP0iVR3gNuSEE+MYjzMuuOBsuXWpeVz9X2ec0WLdlnw/+1hh+h6ztrYirAMOjGAUGhTSSSebszUryl540YdgeluC5SCCbOYy/ydtH2d6rsTRqXZF12BwZPvm6/l11wjMApy0ML43TA5VV5gnBoObY+M/A4PBRJ8+75DTs59VrrLbiWRefXUq48b1ZsSInri6NnGgLqg8N5ejq1Zx5LvvOP7TT7YHKQpjP/+caddfj1MrFtEaLhoCOLq5ce3ChTKFo5k6ogpHp2QreG5qe3N4eHiwe/dufv31V+Lj45kzZw6vv/468+bNsxq7fPlyFi5ciNFoJCsri6SkJIYNG1ZvzPbt20lKSmLSJDU93GAwMHHiRKtjPfjggzz//PMoisLzzz/PE088wWeffdbq1yFJUhdla6U4Xv1kjci5atOSihz1uzK39n7dx5U5jMtLg+NloC+gfoGwBgwlMnhuIzNmm8EzgAED29mGEeN5j+OEE871gmxn0kitFzwDGDGyi5044UQQvZnIJMvqch+8aF5O8JsrRuDRB6bGbESnK6SoyJstm6dz/OgInr9MXWEe3xuaE+ceOJDNokV7+fLLg+TmlkOOda5yhQJ//avtha2uqvTsWY6sWMGR77/ndEICwmTCu29fnL280BcXW43XhYTg1qdPq4JnqP1kvT3TViVVtwugm1ophiY+zggNZV5CQqvPq9VqiY6OJjo6mqioKJYsWWIVQJ86dYq33nqLxMREfHx8mDdvHpWVlVbHEkIwffp0vvrqqybPGRgYWHP/vvvu45prrmn1/CVJ6sK2za9fYg3Ux5vuhPj7wVhmez9FCy5+4OoPrv6UuvTDLWRIzWN2vqQG2A15yI9/2+Ic2azgh0af1+HNEzyFESOVVKKn0vKlR1/z38p6z9XdVrcldkPP8TwaGk97aExSjiVPuWgEhw+PqPecArwUff5j5OdXsGzZQRYt2seePVk4Omq47roB/PJLKjk55VbjQ0I658V+LVWcns6RH34g6bvvSPvtNxCCHgMGcOkzzzDoxhvpOWIEh5Yts7lSHBMXRxO9MJslau5cGTDbQbcLoM8nJi6u0f9JWys5ORmNRkP//v0B2LdvH6GhoQB4enpSUlKCn58fxcXFuLu7o9PpyM7OZv369TUfe9cdN2HCBB566CGOHz9OREQEZWVlZGRkEBkZWe+8WVlZ9OqlXrSzYsUKhg4d2urXIElSF1SeDSe+s93kA9Rc5SGxtQFxnWAZF39w1oFSG0wlJSQQMDm6dn9nb1n/uB2ZMPEbv5BAPM44M44J7GV3vYDXEUemMR1Q0y48LF8t0VhqiA7vFgfP+RXw0lb4T6IaKNv6XKKpONdkMrNhwwkWLdrHqlXJGAwmRo7syfvvz+TPf46iRw83li492GUu9muuglOnOPL99xz5/nvSt28HICAqiskvvsjg2bPxHzy45mJHaHqlOKENi3uS/Vx0AbQ9Ps4oLS3lkUceobCwEAcHByIiIli4cCEAsbGxzJw5k6CgIOLj4xk5ciQDBw4kODi4JkXD1rjFixdz6623oreklixYsMAqgH766afZt28fiqIQFhbGRx991OrXIElSF1GRAyd+UCtgZG4FYQaNI5htrDp6hMKl77T+XLL+cbvJIpOV/EAWWQwliqu5FnfcCSa43atwTGO6VQ503cC8OapM8L/d8GICFOkhdhQMD4QnNqo1nKu5OapdAxtKTs5l0aJ9fPHFATIzS+jRw5UHHxzDXXeNYPjwnvXG2vNiv/auutXUMfNSUkj67juOfP89WXv2ANBr1Cimvvoqg2+8kR4N/g1vSK4Udy3d7iJCyVpn/fnIC8+6D/le2lllPpz8AY4vh/Qt6sqy9wCImAMRN0PePtsrxVMWtijYle9j+zNiZCsJ/MpW3HDjGq5jMEPsft6vk74iY3B6qwLz9cfg8Y1wNBdi+sK/ZkCUJWOwsZbbAMXFer755hCLFu1j27Z0tFqFK6/sz113jeCaayJxcrK+4NGe7HEBna1jahwdcQ8MpCQ9HYA+EyYw6MYbGXTjjfj07du2F4H8c9nR5EWEkiRJXYm+EE6utATNG9XKGF7hMOrvauDcI6q2JVsPS0AmV4o7lQzSWcEPnCOb4YzgSq7GjZbV+m+tnud6ccvgW1u0z5EcdYV5/XG1NfbqOXBNZIPOfwcOwr8210TQosdUtuR4smjRPr7/PomKCiODBvnx5pvTuO22YfTq5dm+L6wFNj/3nFVpuKryctY/+igVBQWYDAb1u6oKk8GA2XLb8HHNdoOBU1u2YGxw7ZK5qorynBxmvvceA//0J3TB3bCRkGRFBtCSJEmdhaEYTq1W0zPSflbTMjzDYPjj0H+O2sCkYR/jahdhp7zOqooq4tnC7/yKJ57M5XYGMLCjp9Wo/Ap4eSt8mKjWaH57Ojw8Ti1JV1fDXOXU1CLuuGMFQoBO58wddwznrrtGMG5c73r5vRdCaXY22QcOcO7gQc4dPEj2wYONNgupyM9n/SOPWG3XOjmhdXJC4+io3rfc1n3cMHiuZjIYGP/oo+36mqTOTQbQkiRJF1LDes1jXwBHNzj2DaStB5MePILV7n4RN0PA2MaDZqnTSSOVlfxALrmMZgxXcCUuuJx/xw5gK8/5lWjwd7c9fv78zfUu9AMQAvz8XElLe6xNdZqbm6tsKCsj5/Bhsi2BcnWwXJ6TUzPGPTCQwKgonDw9MZSUWB3Ds3dv7t+7t16QrGi1zQr6ZWMSqVq3CaCFEBf8N96uoKvluEtSt2azXvM96n33IBjygLrSHDi+XnUMqfMzYGAzG9nONnTouIO7iCCio6fVqJ+Ow+Mb4IiNPGdbKiqqSLXVbxvIy6toc/Bsq0NwSWYmurCweoFywcmTatSOms8cMHQoA667joCoKAKjogiIisLd39/mcav3mf7GGzVjWsoelbykrqlbBNAuLi7k5eXRo0cPGUTXIYQgLy8PF5fOufohSRcVkwF+e8y6XjOAayDceUYGzV3UKU6yihXkk884xjOdK2x28usMjuaqgfP64xDhC6vmwLUN85wb2Lz5JA888GOjz7elXrPJYGDD00/bzFXe+PTTACgaDb79+9Nr5EiG33FHTbDs068fiqbxPzP2qLolG5NI1bpFAN2nTx/S09PJqfMRjqRycXGhT58+HT0NSbo4mU2Q+Qsc+wpOfA/6fNvjKs7J4LkL0qNnIz+zkx344Mtd3ENf+nX0tADYlB3AvPdqq2U8dykczoH/7FJLz701HR6xkedcV15eOU88sYElS/YTEeHLs89eynvv7WhxvWazyURRaip5x46Rl5JCfp3bwtOnEWZzo/vG7t6N36BBOLq6tvhnAPYpDSfLzUnQTQJoR0dH+rZDqRhJkqQ2EwLOJapB87FvoDwLHNyh3/VwZoNax7kh2dmv09vPvnr1mqOI4iAHKaaIiVxCDNNxwqnFx22qLFxrLT0Ibx0bgN4Sl6YWwf2WBeT7R8M/ohvPcwb108tlyw7yt7/9TGFhJc89dyn/93+X4+rqSHBhIicXvoe7qYAyrQ/97nyauXOjEEJQkpFB3rFj9QLkvJQUCk6exGQw1BzfydOTHv3703vcOKLmziXxP/+hIs+6354uNJReo0a17YchSXbSLQJoSZKkDpd3yBI0fw3FJ0HjBKFXQf9bIewa9ULBhjnQIDv7dQH72cdqVtZ0DCyikN/4FQ88uIf7CCG0VcddehBi19Y2JkktgnvXQFYJXN0fzKL+t8B6W81zde4//jPozdZLy7084H9XNz2nkycLePDBH9mw4QTjx/fm44+vJcqSHL130SLyF72Mh0mtROFhKiBn4f/xr7VqAFw3DcPBxQXfiAj8Bg1iwKxZ+PbvT4/ISHr07497YGC9dEu/AQNkXrHU5cgAWpIkqbWKTqoB87GvIP+QmobRZxqM+T/o9ye1FXZdsrNfl7SJDfXabVfTom118Azw3Jb6Xf0AKo3w1Cb1uy2i9i8lZvN8dEVpFOlC2BwTx6Hh1v+fCbOZ8rw8itIz+fw/W/h+ye94KaW8Hu1Nv4Akdj/8BVvPnqUkK8tmRQthMlGem8uYBx6oFyR79enTZH5yvbnKvGKpC5IBtCRJXVvDsnDtFZA2dtyyLLVOc8pXcG6nOrbXJLj8Awi/CdwCmj6urNfcaRkwkEuO5euc5TuHImxXn2hse3OkFanftijAVzeCRqn9Vqj/2NZ39Zhnn13K5DWxOFWpK7reRanMWnU3o1O+Y026P6VZWZRaguKy7GzMRmPNua+x3Jp3e3K2Z088e/Wi54gRRFx5JTvee8/mfI2VlVzxThtaxiPziqWuRwbQkiR1XTbLwsWq99sSpNo67ua7ITEOCo8CAvxGwMQ31K6AXq1fhZTa19qlr7Jn/j8xpxWiCfFmVNxTXDP3uXpjyimvCY5rg+UciiisGaNBgy+++BNACSXo0VudS4d3i+cnBCzZD3/9WQ14bRUaDdHBnBZ2+zaUlZG5axcZO3YwY8VLiKqKes87mAyEHVpJck4gnr164dGzJz4Dh7A7uZL4XcU46Py4/8kZXHXzeDx79cLJw8PqHEdXrpQ1kCXJQgbQkiR1XdvmW5eFM5bDL49AZT4Ic/1vzNbbhBkQ9ccc/K/1cc0GKDqmNj7pfwv4dN7Ocl1Bw4vypjGd4Yxo0zHXLn2V3bEvQXmVGpymFrI79iWyOUvA3JiaYLmMspp9HHGkB36EEoofY/DHH38C8MUXB8s/kQ1zoKv3m8b0Fs3vbCncvxZWp8BlIfCngfB/8fXTONwc1QsJmyLMZnKTk8nYsYP07dvJ2LGD7IMHESZT0zsqCk+ePQvAunXHePDBH0lLK+LBB8fw2msx6HRNlzyVNZAlqZYMoCVJ6lqEUAPZM5vUlWFb9AXwawva6ioaSxk5y63JdrtehAnGvdTSGUsN2LoobxUrKKeMCPpTRRUGqixftfeqmtimN1Vy6slXrZOKy6s489dPyAospkdIP/oH9yfQNdgSKPujwxsNTefqVgf2bQn4v02CB3+EUgO8MwP+Ol5Nt3BJWMrJd+fjXpBGmU8I/Z6OY25U/U9PynNzSd+xozZg3rkTfZGa/+Hs5UXv8eO59Nln6TNhAr3HjePjsWMbXSk+e7aUv/3tJ7755jCDB/vz2293MWlS81aQZa6yJNWSAbQkSZ1fWRakb7Z8b4LSdHW7olWD2obc+8At+6gJiBt+19tuo4PEkjDbwbksN9cuNrHR6qI8I0bWs65Z+ysoOJi1OBwqQIlPxbzlJMatJ6Cowvb4vApM05dwDjgHnPDzQxcSgi4kBK/gYKv7Hj17otHWr2KhWXoY7fwP0aaloQ0JQRMXBHNHnHeu+RXw0Dr4+jCMCYLPZ8EgSxO8g0uXUvCPWDwsK7oeBakU/COWrVUncfH2rgmYC06cUF+HRkNAVBRDb7mF3uPH02fCBPwGDLC6WC8mLo6V99yDWV+bduLo5oYy7T4GDfqQ8vIq/vGPKTz99CScmioEbYPMVZYklQygJUnqfAzFkLFVDZbTN0P+YXW7sy/0iYHRMRA8Dc5uhwQbZeEueR1cerT+/BPjZLk5OzFjrpdr3NBNzMERRxxxqvNfRxyEAyUpqWRs+ZW0+F84HR9PeW4uAD7h4fS9+Tb2rFgKudadHpUgL+5YtpriM2coSkur+c4/fpyTmzdbVZfQODjg1adPTUCtLynh+E8/YbbUMi5KTWXVPfeQffAgYVOmgBAIs1n9ttxHCHalm/nPLkFppZmXB5qZ5SYwbjRzwDLm58ces9mBL+GFFwDw6NWLPhMmMOq+++gzYQJBo0fbzE1uKGruXJZ/u53KtUtxNxVQqvXmoNd1bPjUyOTJvfnoo2sYMMDvvMeRJKlxMoCWJOnCaKpahkmvBsPVK8zZO9WVZQdX6HUZDLgTgmPUC/fqduzThatXYrV3FQ5Zbs4ucsllBd83+rzaoGRYzeOCU6c4Hb+JU1u2cGrLFkqzsgDw6tOH/lddRdjUqfSdMqXmIjZlclhNDnQNN0dGvfl3wiZPbvS8lUVFVsF19eMzv/9O4enTVvuY9Hp+f+MNfn/jjSZf8xWWWwGsbHJkHYrC31JT1VJwTfXYbsTSpQf5508B6E1/tUwWOAv33juKhQuvadUxJUmqz64BtKIoM4H3AC3wiRDi9QbP/wuYYnnoBgQIIbztOSdJkjqAraoWW+6F0z+q+cqZv6jPKRoIGAejnlFXmHtOBK1z08e2V1k4WW6u3Zgxs5MdbORntGgZx3h2L12CmL8J0oohxAslbhqTou/nQPyXnNqyhdPx8TWBq3tAAH2nTiVsyhT6Tp2KT3i4zSCwutrG+apwNOSi0+Gi0xEwdKjN51/WaNTc+4YUhbt/+w1Fo1HTKBSF3VkaXv5FIatcw7wRCg+O1eDsqNQbo2g0KIrC4smTKcnMtDqsLiQEXXDweX6q1kpLDezbd5ZHHlmHvroNYR0bN56QwbMktRO7BdCKomiBD4HpQDqQqCjKaiFEUvUYIcRjdcY/Aoy013wkSepAtqplmCrVBiQ+g2DQPWpqRu/J1s1HpA51cOnSNl00VkABK/mBU5ykP5HM4k+cXrqGfff9iKnCkqObWgy3r+Bn8QMALj4+hEVHM/GJJ+g7dSp+gwY1O/C7Zu5z5w2YW0oXEtLoRXnBl1wCqIvez26G9/dB/zD4fhZMPE8MPP3NN1td1aK4WM++fWfZvTuT3buz2LMni6NHc23G+dXSGis8LUlSi9lzBXoccFwIcRJAUZSvgVlAUiPjbwVetON8JEm60PRFcHpN49UyUODPjf2VIHW0g0uX1gvwilJTWROr1tmuG0QLs5nKwkLKcnIoz8mhLCeHspxzHM/ZR0rOXsgpJzDHjfKcdXySM5+SjAzrkwmBi7c3d2zZQs/hw5vdxe5COF/5tu3pcOcqSMmDR8fBazFqObrziZo7l99+P8PJhW/ibiqgTOtDvzuftvoFpbCwkr17s2oC5d27s0hJyat5vndvT0aPDmLOnCGMHh3EAw+sJSPDumtgSIiulT8BSZIaUkRTv6625cCKMhuYKYS41/L4dmC8EOJhG2NDge1AHyGsL6lXFCUWiAXw9/cfvXz5crvMWbqwSktL8WjGBTFS51f3vXQwldKj5Hf8i7biW7YLjajCjAYN1h8pVzoGsj3y6ws93W4pe9MmTn3yCfpz53AOCKDvvfcSOG1ai45RWlqKu6srxrIyjCUl7H30Uary863GaZyd8Ro8mKqiIqoKCzEUFoLZ+v0FwMMZZy8fnLx9cfL2xlGn4+z69bbHKgqTt2xp0ZwvFFs/X5+p01mSGsbXZ0Lwd9bzdORRRvkUNvuYmzZl89ZbKfXSLZydNdxwQ288PR1ISSklJaWEzMzasoqBgc707+9BZKQnkZEe9O/via+vk43jJqPXi3rHffLJSKZNC2z9D0HqEPLfyo41ZcqU3UKIMQ23d5YA+u+owfMj5zvugAEDRHJycrvPV7rwEhISiI6O7uhpXBj2ajfdSfy2eQ2XBuXBie/gzAYwV6mvM3w2RMyGohOQcL91VYspC7vVz6E52poS0dgxG66QOri6MjUujtDLLqOioIDKggKr24bbSnNyMJaV2c73bSB40iTc/f1xs3yr9/3I9i9hp/9BTP4uTPefxXjny6zqLL8bFmY7JSI0lL/ZuGCvM9p3Fu5YCQfPwT0j1drOXudJ128oLOxdUlMbT6sIC/Nm9OhejB7di1Gj1G9/f/dmHfv//u8bvvwyi7S0IkJCdMTFxTB3blTLJih1ChfVv5WdkKIoNgNoe6ZwZAB1M8D6WLbZcgvwkB3nIkkdx17tpjtaZT6cXAknvuOSMxvhqBE8Q2HYoxB+EwSOq62x3HOier8b/xLRHI2lRJiNRvpfcw2G0tLGv0tKGn0u7ddfMVlKrFUzVlSw4fHHbc5D6+SEi48Prr6+uPr44NGrF/6DB5NXVkZ4VBSuluc2PPkk5Tk5VvvrQkO5+7ff6m0rpZQ1rOII6QQznBu4kR7YLpXWFTvaLT0I87dAWpEaKBfrIdAD1twC10S2/HhGo7nR4FlRIDf3aXx9XVs932nTAlmwYE6r95ckqWn2DKATgf6KovRFDZxvAf7ccJCiKAMBH2CbHeciSR2nsXbT2+Z3zgCyqdXyilw4tVJdaU7fDGYjeIaR7nsjIVOegIAxthuTgKxqAWx65hmbdX9XzpvX7GM4urnh5OFR77th8FzXLatWqcGyj0/NrYOrq82L8hqudGm02mYFukkcZjUr0aNnOlcwiUub7O7X1TraLT0I962BCqP6uEgPWgVeurzlwbMQgh9+OML8+Y2nqoSE6NoUPEuSZH92C6CFEEZFUR4GfkYtY/eZEOKwoiivALuEEKstQ28Bvhb2yiWRpI5UcqbxC+hK08BsAk3LOoHZlc1yc/dB+hYoPaPeChN49YMRT6grzf6jOLl1KyGBYzt27p1U/vHjHF25kuRVqyhOT2903Mz33qsNij09rYJkJw8PHN3crDrkQdMpEQOuu67Vcz9foFtBBT+yhgPspxdB3MhsAmhejq29OtrVXSkO0UHcVDhf5oJZQHapuk9qkXqbVlz7+EC2OqYuk4DXfof7rT7YbVx8/CmeeWYzO3dmMHiwP489NoGPPtpNeZ261W5ujsTFxbTgFUuS1BHsWgdaCLEO6vdmFUK80ODxS/acgyR1CEMp7H0D9r7VxCABn4fCgNth4J3gM/CCTa9RNsvNVcCRz0AXASOfhoibLA1NOkc9WXvkFLeFEILMXbtIXrWKoytXknNY7aLYc8QInHU69EXWH9vrQkMZ/+ijrT6nPVMiGgt0U0hmFSsoo4wpTOVyotHSsb8MLj0IsWtr+6ikFqmPDSa4pE/jAfKZIqhqcA2kzlkNwEN1ar6zLc2tCrdv31meeWYTP/98gj59vPjss+u4447haLUaRo8OYv78zTJXWZK6GNmJUJLakzDD0SWwfT6UZ0H/WyBgAux4zvoCukH3QslJ2PtP2PO62kBk0DyIuAVcfC7svCvzISO+6XJzc1M6TdBcrbll1uzNZDBweuvWmpXmkowMFK2W0MsvZ9R99zFw1iy8w8JsXuzXHoHuhUyJqKSSn1nPbnYRQABzuZ0gerf7eVpj/pb6TQhBfXz36vrbNAr09lQD5PG94aZBEOoNIV7qthAd6Fxqx4e9pwbaDZ2vKtzJkwU8/3w8y5YdxMfHhX/+czoPPTQWV9faGndz50bJgFmSuiAZQEtSe8nYCr89Brl7IXA8XPm9evEcgJtf43nFZWfh2DI4uhi2/gV+/Rv0naWuSodcARo7/DE1VkLW72rb7PRNcG43arNhxXLbgEdIhwfPwmymJDOT/OPHyT9xgvzjx9nx/vsYbeQUr7n/fgpTU/EJD8c3PByf8HBcfdr3lxJ9cTHHf/qJoytXcuzHH9EXF+Po5kbEzJkMmDWL/ldfjVuPHvX2sWega547BNPchzBRiAlvzAxp8zEB9rOPTWykiELccceMmUoquZTLmUoMDp3gn5GUPPjmsO0gt9oX16urySE6CPIExxYslsdNrb+yDWqd57iptsdnZ5eyYMEvfPTRbhwcNDz77KU8/fQkvL1dbO8gSVKX0/F/80lSV1d0Av54Gk7+AB7BMH2ZuvJcN+Bs6gI6954w4nEY/hjk7lMD6ZRlcOJbcOup7jfwTujRhlUqs0k9dvomOLMJsn5TOwFqHCBwAox9UW2dXXQCtj5ovVo+se2pAM1JtTBVVVGUmloTJBdYAuWCEycoOHkSY2VtPVyNgwNmo9HmuarKytgyf369bS4+PviGh+MbEYGPJaiuDq49e/Wyatxha75hU6eSvHo1yStXcmrLFkwGA27+/gyaPZuB119Pv2nTcHRt+uIve+T+7mcfq1lJFWqEV0Qhq1kJwHBG2NxH2PgyaUzo0SMQmDFziIP8xDqMqD/nMsoAiGYqU+nYPN3ThWrQ/M1h2GtJsXDWgt6qk4AaON82rPXnql4gPl9udXGxnrff/oO3395GZaWRe+4ZyYsvRhMU5Nn6k0uS1CnZrQ60vcg60N1Hl69tqS+CXQvgwPugcYTRz6qBsEM7XD1vMkDqOjUdJHWtWu3CfxQMuBMi/wyufk1XyxACik+qwXL6JvXiP72lIUaPKLVtdp9pEHQ5ONX/x/3g239h82sLKcozoeuhJebZWKKe+E+T0z3fe2krdUHr7MygG27Axdu7JkguTE1FmGojIAdXV3wjItRAt/rWEgTrgoN5PyKi0Yvn/nLoEAUnT9YG4pZbm+dxccGnX7+awLoiP5/D33yDSa+vGaNoNAhLsxCf8HAGXn89A6+/nj4TJ9q8sO9CKKecs2TxNcuopNLmGCecbAbLwtYnDc2kw5sneKrV+7dWejF8m6QGzTssRVHH94Y5Q+CmwbA11fZK8cJrzn8hYVvo9Ub+979dLFjwK7m55cyePZgFC6YwYIDtMn4XQpf/+1WqId/LjtURdaAlqXsyGyHpY9jxAlTmwaC7YPwCcO/V6C4tvtBN6wT9rle/K3Ig5StIXgK//RX+eBJ8h0H+ITBbArzqahlZ28FcqQbOJafV5zz6qCkhwdOg91R1xbuJea55YQlV5WpwWZRnYs0LS6DnJKLmzsVsNKIvLqaysJDKoiL0RUVUFhVxdvt2dhw8WPNYX/2cZVzW7t1Wq8UmvZ5DX32Fi7c3vhER9B43jqG33lqzQuwbEYFHz542y61Va+riOScPDwKHDSNwmPXSo6mqiqK0tHqBdXUQf2rzZqtSc6CmkDjrdNz9++/4Dx7c5LzamxkzhRSQRRZnOctZsjhLFkWc/yq2MYxDsXxpau41/FKfOXniJBHhETVb1/OjzWMWUdjOr7Bx2aXw3RH4+hD8dkbdNrInvBEDNw+BMO/asc1dKW4vJpOZZcsO8sILCZw+XciUKWG88cY0xo7tHDnhkiTZjwygJakl0n6G35+A/MPQOxomvQP+I5vcpc0Xurn6w/BH1e+8g+qq9P5/qRcs1mWqgEMfgJMO+kyFkU+pQbOuf7Pzlzc/95zNOsUr7ryTNfffT1VZWaP7Vn8u5ODigrNOh4u3Ny46Hc46XaOpFigKfy8oaNbcbGltTrHW0VFN5wgPJ7zBc0IIXtFqbXbj0xcXEzCkbbnFdXOKdXgzjen10iyqqOIc2TWBchZZZHMWPeovSxo0+OFHKGH0pBe96MUKvqeYYqtz6fBmJlc2e26mM2YmhV9a8/gPfrcZLOvwbvYxWyO3HH44oq40J6SqJeSG+MM/otWgObJH4/vOjbJPwLx06cGaahnBwTpuvnkwGzac5MCBbEaM6MlPP81lxozwC/qLlSRJHUcG0JLUHPlH1MA5bT14hcOVK9RV3fP8YynMZn5+/HGbQemm555reS5sjyiY9Bbse6eRAQrck9uiCw8NZWWc2ryZlB9/pCgtzeYYYTIx+v77awLihrf7jx7l8hkzcNHp0Do5We3faJ3ikJBmz7Mx7Z1TrCgKupAQu8zXVq7ySn4gmWQ0KJwli1xyMaP+cuSMM4H0ZAQj6UkvetKTAAJxxLHecadzRb3jAjjiyDSmt2m+05hul+OCdb3m+ZeBo0YNmjeeVOssR/aA+ZeqKRpDAtp8ytbPdelBYmPX1NRrTksr4q23tuHv78ayZTcwZ85QNBoZOEvSxUQG0JJUV8O84tHPqKkSh/4Hjh4w6W2IelhNsWhC3rFj7F+yhP2ff07ZuXM2xxSnpfHFjBn0nTqVvlOn0mvUKDQOzfwj6RFiu+ScR0izguf848c5tm4dx378kdMJCZgMBpw8PXFwdcVYUWE1XhcayhVvv93o8VJKSnD392/0+a7Wutle893Az/WCUQATJg5xAB06etKLQQyuWVn2xqfJjn7Vqlewm1rZbg17Hbexes2gpmQ8OVENmkf07PDiLwA888zGes1Oqrm6OnLrrbIEnSRdjGQALUnVbHXh2/ogoMDQB2Hcy+rFe42oLCzk8PLl7F+yhDN//IGi0RB+xRVUVVRQkZtrNd7J05PSrCw2P/ssAM5eXoROnkzfmBj6Tp1KwJAhVpUhakyMqz9XaLJahslgIPWXX2qC5ryUFAB6DBjA2IcfJvLqqwm59FKSvv22y9cpbg/tNV8DBk5zihMc5zjHKLGRZlHtCZ5u05yHM6LNge2FOu6zm63rNQP0dIeTj3R80CyE4OjRXFatSmb16mTS00tsjjtzppmdVCRJ6nZkAC1J1Wx14QO1lNzkD23uYjaZOLlpE/sXL+boypUYKyvxHzyYaW++ybC5c/EMCmq0ecY1//0vUXPnUpqdzemEBE5t2cLpLVtIWbNGPa2/P32nTCHMskLtGxFRm18ZOZeDa35vUC3jTqLqlMorycxUA+Z16zi5cSOG0lK0zs6ERUcz9uGH6X/VVfiG188Atmega6/WzfbSmvkKBNlkc5xjHOcYaaRixIgDDoQSRgklNqtl2DunuLMwmeHzA3Cmkd8jsss6Lng2Gs388ccZVq06yurVKRw/rlatGT26FzqdM0VFeqt9Qs7XSUWSpG5LBtCSBOoFY6W2838pt+7jm3PkCPuXLOHAF19QkpmJq68vI++5hxHz5tFr9Oh6FxKdLyj1CAxk6Jw5DJ0zB4CitDROxcdzavNmTm3ZwuHlywHw6tOHvlOnEjZ1KvqiIjbbqJaRVxKA2Wjk2I8/cnbfvpr9oubOpf/VV9N36lSc3N2b/FF0tUC3o5VRVrPCfJxjlFIKQACBjGM8EfQnlDAccbTKgYb2yynuzISA1Snw3BZIygEnrdpeu6ELHY+Wlhr4+efjrF6dwo8/ppCXV4GTk5apU/vy+OMTuPbaAfTp42WVAw3g5uZIXFzH1sKWJKnjyABaurgJoVbWSHwJmx34QM0rBiry8zn09dfsX7KEjJ07UbRa+l91FTPff5/Ia67Bwdm50dO0JCjVhYQw4s47GXHnnQghyD92jFNbtnBqyxaOrVvH/s8/t7lfVXk5W19+GUWjIfiSS4h57TX6X301AUOHysoArdBYtQwjRs5wpiZgziITADfcCCeCcCKIIAIvrKNBe+UUd2a/psIzm+GPdPWiwG9ng94IsT82v7Nfe8rMLGHNmmRWrUpm8+ZTGAwmfH1dufrq/lx33QCuuCIcT8/6f5arW21XV+EICdERFxcjW3BL0kVMBtDSxUkIOLMRdr4I2dvVIHnQPRz88nM2r6yiqAB0PjDlOkdcL5nN/ptuInn1akwGAwFRUcx4+22i5s7FIzDQrtNUFIUekZH0iIxkzAMPIMxmzh06xP+GD29sB57KzW33ttUXm8aqZfzOb+SThwEDGjQEE8JUptGf/vQiqNkX/HXngLnagWx1xfnHY2rr7IXXwF0jwKH6R6TYp15z3XJzaqA7laioQFavVvOZExPVX3jCw314+OGxXHfdACZNCsHBoen3bu7cKBkwS5JUQwbQ0sVFCEjfrK44Z/2utt6e/D8YdBcHv/6WNV99QZUlRbWoAFYuqYIlb+Pm58eYBx9k+J130nPEiA5b0VU0GgKHDUMXGtpomTUZPLeeCRP55LOeH21WyzhHNqMZQwT96Us/XHDpoJl2XqcK4IUEtdKGzgVej4FHxqkrzHXZo15zw1SL1NQibr99RU1J7wkT+vDqq1OZNWsggwb5yU9mJElqNRlAS11SSzv7CSHQH1lLRcIrlJ/eRYXZjwr/u6gwDaP8+7NU5D3J3k8/parSYLWvm78/j6en26xv3FG6Wlm4zkYNlPM4Z/nKsdzmkYsJG8m5FmbMXMusCzjTruNcGSz4Ff63C7QaePoS+Psk8GmHzvbN9dRTG6zKzQkBvr6uHD78F3r29Lhwk5EkqVuTAbTU5RxcupTV991XU6+4KDWVVXffzdFVq/AKDqYiL4+K/Pya2/Kcs1QUFDZo3JcLLKp55KzT2WzfDFCem9upgmfoemXh7Kmpzn4mTOSRZwmQs8khh3Nkk0deTaCsoOCND/74E8kAAghgAz/VXAxY18VSLaMlSvTw9jZ4eztUVMHdI+HFy6G314U5f0FBBV99dYjPPttLVpb1e1Y9RgbPkiS1JxlAS0DLV3QvhIqCAgpOnCD/+HHyjx+vuX/mjz8Q5vptrE0GA0nffoujmxuuPXrg1qMHru4aAnzzcPUrxFXnjtvA6bgOugrXgJ7q876+uPbogauPDxoHB7t2y7MHWS3Ddq7yCr5nO9swYCCvTle/6kA5gAAiGUiA5csPf5yo/wuSgnJRVstoCb0R/rdbXXXOLYfZg2DBFBjQeKn0dmMymdmy5RSffbaPFSuOoNebGD48EB8fFwoKrMsEynJzkiS1NxlASxxYupQ1DVZ0V993HyajkeF33NGmPMGmAnMhBKXZ2VYBcvX9ivz8esfyDArCNyLCKniuoSg8V1am5jbvfFHNdXYNhNH/giH3g0PTnyXLtIiuZ6ONzn5mzGSRSSSRDGQgAQTij7/NQLkxF2O1jMY0bLn9jynq9hcS4HQhTA1T85zH9rb/XE6eLGDx4n0sXryPM2eK8fFx4b77RnH33SMZObKXLDcnSdIFIwPoLqY1K8X64mKKzpyh+MwZitPT690vPnOG3ORkaq6ysTBWVLBq3jzW3HsvTh4eOHl6qrceHjhX36+zrfq+c51t6Tt2sO2ddzBVqitCRamprJw3j+3vvYfJYCAnOZlfKmtXixSNBl1oKL4REQy++WZ8IyLwDQ/HNyICn379cHRzA2h8pbh3IKy+As5sANcAte32kAfA0a1ZP1uZFtE1mDFzguPsIpHiRjr7mTHzZ25v03kulmoZTbHVcvvOlWrBx5E94aO5ML2ffZuflJdX8f33SXz22T4SEk6jKDBjRjhvvTWD664bgItL7T9jstycJEkXigygu5CGHe2qV4qLMzPpOWIExWfOqMGxJTCufmwoadCGVlHw7NULr+Bg/IcMIffo0UbPeclTT2EoLcVQUqLelpaiLymhPC+vZpu+pKRm9fp8zEYjZ/fuJfyKK3CIiCBq8mQ1UI6IwDs0tFm5xjFxcay59+56F/w5OinExJyFXBNc8k+19bZj0w1DbJFpEZ1XEUXsYTd72E0RhbjhhjPO6LHuECdzldvH/C3WLbcF4OcKu+4DjZ0CZyEEO3Zk8Nlne/n660OUlBgID/dhwYIp3HHHcIKDG0/JkOXmJEm6EGQA3QVUFhaSe/Qo6//6V6sL3YwVFWx6+ul62zx69sQrOJgeAwbQd9o0dMHBePXpg1dwMLrgYDx69ULrWFtTqtEV3dBQYl59tVlzNJtMVJWVoa8OtEtK+HjcOKuV7eqxf167loSEBMZHRzfr+HVFjQVuFWxeSU295pjrBFG3zoEpn4CTvFiouzBhIoVkdrOLY6QgEIQTwRXMZCCDOMwhmavcziqq4I8zsPmUuuJsS15F24Nn63rNMcTE9OWLL/bz2Wf7OHo0Fzc3R266aTB33z2Syy4LkWXnJEnqNC76ANpeF8+1psxaSUYGuUePknPkCLlHjpB79Ci5R45Qeta6lXRD8375BV1wMJ5BQS2uGNEeub8arRZnLy+cvWovvdeFhLTuojwhQF8IJafV72LLbUmqej/vAFGjBVGjG+x3drsMnruJAvLZzW72spsSSvDEk8u4nFGMwRffmnEyV7ntqkyQmKkGzD/sH07S72qbba0CzlrQ26Hltq16zXfeuQKzWSAEXHJJMJ98ci033zzEqiugJElSZ3BRB9C2UiLWxMYCtCmIbuq4g2++mYITJ6wD5aNH66VauHh74zdoEBFXXonfoEH4DxrE2vvvpyQz0+p8utBQQi+7rNXztVfub8wjV7Hmuf9SVae0sqMTxDx8FVTm4VGRDCfyGwTJlvtVDdJOHD3AMwy8wiBvv+0Tlqa1ab5SxzJi5ChH2M0uTnAcBYX+RHINY4hkAFq0NveTucotYxaw/6waMG85Db+kQlkVKECEhwOPjIWpfeGyEFidUj8HGtqn5fb8+Zut6jWbTAIvL2d27LiXgQMvQCkPSZKkNlCEjY/YO7MBAwaI5OTkdjlWY6kLKAruAQE4urnh6OqKo5sbDq6u9e/XuXV0da13f9Ozz1KRm2t1WI2D+vuK2Wis2ebVpw9+AwfiN2iQ+j1wIP6DBuEeGGj1cWXDwBzUleJrFy7snHm7S0I4GH+GzavrplpA1FgFNZOyDkdP8OpbGyR7hta5HwbOPrVXKi0Jg1Ib75tHKNx52n6vR2pUQkIC0edJx2msXnMuuewmkX3spYwydHgzitGMYjQ6ZPmx5mpYLaO6NbYQkJxnCZhPQUIq5FsuWRjop1bRiOkLk0Ph4E7r97Gx47aG2SzYuPEEM2cutfm8ooDZ/GLrDi7V05w/k1LXIN/LjqUoym4hxJiG2+26Aq0oykzgPUALfCKEeN3GmJuBl1Ajqv1CiD/bc051FaU1smIpBANmzcJYUUFVeXnNbWVREaVnz1JVXk5VneeMldZ1R20xG41c+uyztQHzwIE4e3o2e76dukqEoRRy90HOLji3W70tPUPUWEvOcj0CLv0Xh1JLGTrxakuA7N38S/knxkF8LBjr5IM7uKnbpU7JVr3mlfxAAvHkkYsGDQMZxGjGEE4EGjQdPOOuxVa1jLtXw38S4VQhVPcXCdHBrAFqwDwlDIKa8ddPe7TcLiqqZMmS/Xz4YSIpKXloNApms/XijazXLElSV2G3AFpRFC3wITAdSAcSFUVZLYRIqjOmP/AsMEkIUaAoSoC95mOLs6cn+mLrMli60FCu/eijZh9HmM0YKytrgupPJ0xoNNWiuRflNaZTVImoKlOD5XO7IGe3eltwlJpVZfcg8B8DZVlgsHEVkkcoDP8buQUJ4D+y5eePtLz+bfPVtA2PEDV4juwEv0hINm1io1W9ZhMmCshnGjMYySg8af4vk1KtUgM8scG6WobBBNszYM4QdZV5al/o623fknMNHT58jg8/TOTzz/dTVlbFhAl9+PLLP2E0mvnLX9bJes2SJHVZ9lyBHgccF0KcBFAU5WtgFpBUZ8x9wIdCiAIAIcQ5O86nnn2LF6MvLkZxcEDUSaloTeMMRaNR0zfc3KBHD6a/+WbXa8iRstR2QFpVbllZ3l0bMBccoaYvtlsvCBgNEXPUW//R4N6r9pj2WimOnCsD5i6kiEKb282YuZzJF3YyXVipAfadhd1Ztd9HcqwSomoIActuuKBTxGg0s3p1Mh98sJP4+NM4O2u59dYoHnpoLGPGBNWMc3DQynrNkiR1WXbLgVYUZTYwUwhxr+Xx7cB4IcTDdcasBFKASahpHi8JIX6ycaxYIBbA399/9PLly9s0t8J9+zjw1FPohg0jcMYMTi9ahP7cOZwDAuh7770ETpvWpuMDZG/axKlPPmn349pDQOEmBmS+hVbU1tM1o8Gg9cXZlI9iaYVscPChxGUAJa4DKHGNpMQlEoNj0xf7BBRuot+5T3CuOofeMYCTAfdyzlv9OZSWluLhIatmdAdNvZdGrZHfJv6C2cG6nINzpQuTtrf+AtiuaFN2AJ+c7sc5vTMBznruDTvJtEDrtYMKk5ZjpR6klHiSUupBSqknaeVuCNQl5B5OeiI9ShjgWcLKzN4UVllX3wl0ruTr8dubPbe2/JksKDDw449ZrF6dRU6OnsBAZ2bNCuKqq3qh0zme/wBSu5J/v3Yf8r3sWFOmTLGZA93RAfRaoAq4GegD/AJECSEKGztuWy8izEtJ4ZMJE/AIDOSebdtw8fZu9bG6PEMxZP0BP8+BKhsd3bQuMPIpCBhjWVkOatfPf+WFEd1HY+9lGql8z3cUkI8GDWZq27A74sh1XH9RVdBomKsMalWLf8+E/r7qivIuy8pycm7tynKQJ4zuVf+7l+f5j7vwmpblL7fmz+TOnRl88MFOvvnmMAaDiWnT+vHww2O55ppItFqZy95R5N+v3Yd8LztWR1xEmAEE13ncx7KtrnRghxCiCjilKEoK0B9ItMeEKvLzWXbNNWi0Wm5du/biC54r8yHrN8jYClm/QM6e2lQMW0x6GP/KhZuf1G2YMJFAPL+QgA5v7uE+Cim86Os12+rsV14F96ypfdzbEizfOsQSLAdBz/MsPlUHye1VLaMuWw1PbrxxEMuXH+aDD3aSmJiJh4cTsbGj+MtfxjJokH/bTypJktTJ2TOATgT6K4rSFzVwvgVoWGFjJXArsEhRFD8gEjhpj8mYDAa+ueEGilJTuWPLFnzDw+1xms6lPBsyf7F8b4W8g+p2rTMEToDR8yFoMmy5C0rPWO/vcZ6GJ5JkQy65fM9yMshgBCO5imtwwYVQuOgC5mo5ZbDhZOOd/QDW3tK8YLkx7VEtoyFbDU/mzVvJgw+uoaSkioED/fjggyu5/fbheHnJhieSJF087BZACyGMiqI8DPyMmt/8mRDisKIorwC7hBCrLc/NUBQlCTABTwkh8uwwF9befz+pW7fypy+/JGTSpPY+xYXT2MV+ACVnaoPlzF+g0JLq4uAOvS6BiJvVgDlgLDi41B5z4muyLJzUZgLBbhJZzzoccGAOtzKEoR09rQ5hNMPODPjpOPx0AnZlqukYGkVtZNJQqA6ujrzg0zwvWw1PjEYzRqOGTZtuZ+rUvrK9tiRJFyW71oEWQqwD1jXY9kKd+wJ43PJtN7+/8Qb7Fi/m8hdeYFhHl4Bri4ZVLUpTYfPdcOgjKEuH4lPqdicd9LoUBt0DQZeD/yjQNnERjywLJ7WRwdHAUr4ghWTCieBP3IDXRdYEJbMEfj6hBs0bT0JBpRowT+wDr0TDzAg4mgv3/9j+nf3soazMQGojS+aVlUZiYvpd4BlJkiR1Ht2+lXfSd9+x+dlnGXrrrUS/9JL1gKZWdDuTygL47fH6q8QAZgNk/Q79rodhf1VXmHtEgcZ22+NGybJwUislc5QdY7chMHMlVzOeCRdFIxSDCX5PU1eYfzoBB7LV7UGe8KeBasA8rS/4uNbuM8ZyHa49cpXby6lTBXz4YSKffrq30TGy4YkkSRe7bh1AZyQmsuL22+kzcSKzPvvM+qNGWyu68bHq/Y4MJisL1Av86tZeLm4qNVzAld9fsOlJEoABAz+xjl0k4mHw4E6nuwkksKOn1W5stbCeFFyblrH5lFqX2VEDl4bAGzFwZQQMDWi6WI09cpXbSgjBli2neOGFQ2zbthWNRuHGGwczcGAP3nprm2x4IkmS1EC3DaCL0tL4+rrr8OjZk1tWrsTBxcV60Lb51iu6xnL4/SkIvgJcerS+bFtzV7Yr8+sEy7utg2XPMLVByeB7Yf+7UGGj14y82E+6wDJI5zuWk08+k7gMx91OBE7uXsFzw9bYt6+oLSsX5g23D4OZ4WpLbM8uev1caamBL77YzwcfJJKUlIO3tyPz51/GAw+MoXdvLwAiI/1kwxNJkqQGumUArS8pYdk111BVXs4dmzfjHtBIh/DSNNvby7PgM3/QOIFbT7WznnuQ2nWv5rbOfVc/UOp8ZN3YyrahDHR9awPlnN21ectQP1gOGKPmLrv0qPN8iLzYT+pQJkz8yi8ksAVPPLmTu+lHPxJEQkdPrV2kFcEfZ+DBH63LzQnAxwW23Q2RbfjdujM4cSKfDz9M5LPP9lJUpGf06F4sWXI9PXvmMWNG/YTsuXOjZMAsSZLUQLcLoM1GI9/fcgs5SUnMXbcO/8GDGx/sEaIGtw25+MGY/1MD6bJMKMuCwhTISAB9gfV4jYMaaFcH2Ombba9sb72/9rFXX7U5yeBYSwvsBsGyLfJiP6kD5ZPH93zHGdKIYhjXcB2uuJ5/x06qyqS2xf4jXQ2a/0iHdBv9hOoqrIQBTTff7LSEEGzceJJ//3snP/6Yglar4aabBvPII+OYMKEPiqKQkJDQ0dOUJEnqErpdAP3zE09wbN06rv7vfwmfMaPpwRPjYNOdIOq0GHZwg8vebTwoNVZaAuus+gF2ueW2+CRUlTZ+zus2NC9Yboy82E+6wASCvexhHWvRoGE2NzOM4R09rRbLK4dtdYLlnRlQYVSfC9HBZSFwSR+4JBj+tFxdjW6oK147V1Ki5/PP1TSNo0dzCQhw5/nnL+f++8cQFOR5/gNIkiRJVrpVAL3zww/Z+f77THjsMcY88MD5d+h3I2juBcVFXSFuzoqug4u6euzVt/ExS8Jsr2x7hELw9PPPS+p29rOv3bvw2eOYDY/rhRceeJJJBmH05QZm4413m8/Rnmxd7HfrUEjJg9/P1AbMR3PV8Q4aGNkTYkerFwVO7AN9vOof89Wptltjd8Zyc9Uadgx89NHxpKUVsWjRPoqL9YwdG8QXX/yJm24ajLNzt/qrX5Ik6YLrNn+LHv/pJ3569FEir72W6f/8Z/N2Or0GTJVw3UYIntZ+k5kYJ3OVpRr72cdqVlKFGo0VUchqVgKt78xnj2PaOm6x5Wsow5jNTZ2uPJ2ti/3uXAn3r4UyyzZfV3Vl+Y5h6u3Y3mow3BR7tsa2B1sdA594YgMaDdx6axSPPDKO8eP7dPAsJUmSuo9uEUCfO3SIb2++mcBhw7hx2TI02mbWQE7+Us1Z7j2lfSckc5WlOjaxoSYgrVZFFWtYRSYZKCgoaCy3tV+aJh5tJd7mMdeymmyyMWGs92XCRBVVmOo8U/+e+lwllTZfwxnSOl3wDPDsZuuL/UyWUhmfXqumYwxo5QV/nbHcXGP+/veNVh0DAYKCPPnyyxs6YEaSJEndW5cPoEuzs1l2zTU4eXhw65o1OHl4NG/HilxIWwfD/tbypiPNIXOVL3oGDBziAEXY7uZmwMAediPqfJkx19xvDT16tvE7DnW+tFb/dcAZ5wZjtDjgyHb+sHncIgpbNR97KaqE/+6CM41c9FdeBXePvLBzutDKy6tYseIIixbtIyOjxOaYxrZLkiRJbdPsAFpRlKHAYKCmoLIQ4nN7TKq5qioq+HrWLMpzcpj3yy949WnBR5THl4PZCANus98EpYtSPnnsZCd72U0FFWjQYMZsNU6HN0/wVKPHEQ2+6gbXH/A+xTYCcx06nuDpVs/9CEk2g2VdJ8l7PlcG726H/+yCIj24OECl0XpcV7zYrzmEEOzYkcGiRXv5+uvDFBfr6dvXG53OmaIivdV42TFQkiTJPpoVQCuK8iIQjRpArwOuBH4DOiyAFmYzq+66i4ydO7n5++8JGj26ZQdI+VJtee3X9aoJSJ2PGTPHSGEnOzjOMRQUBjGYcUygiELWsKpeyoUjjkyj6QtKq9M1bJnOjHq5yrXHPE/lmfOYxvRGjtuxF7+eLoS3tsGne0FvhBsHwTOT4Ghe17vYrzWyskr44osDLFq0j6NHc3Fzc2T27MHcddcILr88lK++OlQvBxpkx0BJkiR7au4K9GxgOLBXCHGXoiiBwJf2m9b5xb/4Ioe/+YZpb77JoD/9qWU7Fx6Hs9tg4hv2mZx00SinnD3sJpGdFJCPBx5MZgpjGIsXtaUdFJR2rZhRvW97V+Gw13FbKykHXv8dlh0EjaJ2/3v6ktpazKOD1NuucrFfS+j1RtasSWHRon389NNxzGbBpEnBfPLJtdx00xC8vGrbH1Y3OpEdAyVJki6M5gbQFUIIs6IoRkVRvIBzQLAd59Wk/Z9/zq8LFjDynnu45MknW36AlKWAApF/bve5SReHTDLYwXYOcgAjRkIJYxrTGcRgHGz8sRrOiHYPQu1xTHsetyV2pMNrv8OqZHVF+ZFx8PgECLaRkdCVLvZrjr17s1i0aB9Llx4kP7+C3r09+fvfJzFv3ggiIxuvHy87BkqSJF04zQ2gdymK4g18DOwGSoFt9ppUU0pSUlh55534DR7M1f/5D0pLL68XApK/UCtveMiyTlLzGTFymEPsYDvpnMERR0YwknFMoCc9O3p6XZ4QsOmkGjjHn1bbZr9wuRo8+7l19OzaT8N6zXFxMVxxRThLl6opGvv3Z+PkpOX66wdy110jmD69H1pt56uAIkmSdDFrVgAthPiL5e7/FEX5CfASQhyw37TOr/DUKZK+/ZaouS2sdJG9A4pPqK26JakBW81JQgkjkZ3sYRdllNEDP67kakYwsku3su4szAJWHIXXfoPdWdDLA96aDrGjwNP5/Pt3JbbqNd955wqEEJjNMHp0Lz744EpuvTUKX1/5/5YkSVJn1ZIqHMOAsOp9FEWJEEL8YKd5nZexooLN8+e3PIBO+RK0LhAua6NK9dlqTvID3yEQKCgMYCDjmEA/+nXKmsidXcOOgS9Hq8HzG79Dch5E+MLCa9SGJ921Ud78+Zut6jWbTAJPTyd+//1uoqICO2hmkiRJUks0twrHZ8Aw4DDU1OMSQIcF0ABFaWkt28FkgGNfQ99Z4OR1/vHSRcVWwxOBwBlnHuIRvPHpoJl1fbY6Bt61Sv1LZHggfH0jzB4E3TVToaKiiu+/P0Jqqu2a4KWlBhk8S5IkdSHNXeeZIIQYbNeZtIIuJKRlO6T9DJV5MOB2+0xI6lL06EknnTRSOUNaow1P9Ohl8NxG87dYdwwUQIAb7I1tXafArmD//rN88skevvzyIIWFlTg4aDAarWuCy3rNkiRJXUtzA+htiqIMFkIk2XU2LeDo5kZMXFzLdkr+Alz9IbhttXKlrqmIQtJII41U0kgjm7OYMaOg4E8ATjhhwGC1X2dpItIVCQG/pakrzrbklHe/4LmkRM9XXx3ik0/2kJiYiZOTlhtvHMS9944iM7OE++9fK+s1S5IkdXHNDaA/Rw2izwJ6QAGEEGKY3WbWBF1oKDFxcS3Lf9YXwenVMDgWtI72m5x0Qdi62K9u6TUTJrI5Wy9gru7c54QTvenDZVxOCKH0IRhXXK1yoKFzNBHpisqr1NrNHyTC/mzLXxg2xnWXhdfqDoEff7ybb745TFlZFUOG+PPuu1dw223D6NGjtoyIoiiyXrMkSVIX19wA+lPgduAg2OhJfAF5Rkbyt+Tklu944jsw6WXr7m7A1sV+q1jJWc7igJY00sggvWY12QsdIYQQQighhBBIT7RorY7b2ZqIdEWnC+E/ifDpPsivgKgA9cJABw08vL77dQzMyyvniy8O8Mknezh8OAd3d0duuWUo9903inHjetsssynrNUuSJHV9zQ2gc4QQq+06E3tL+RK8IyFgbEfP5KJyvpXi8xEIjBippBI9evRU8hPrrC72M1LF7/yKgkJPejGSUTUBc0tSMDpDE5GuRgjYXeDDv76GNSlqx8A/DYSHx8LlobUpGk7a7tEx0GwWxMef4pNP9vLDD0cwGEyMG9ebhQuv4ZZbhuLZ3WrvSZIkSVaaG0DvVRRlGbAGNYUDgPOVsVMUZSbwHqAFPhFCvN7g+XnAP4EMy6YPhBCfNHNOzVeSBhkJMO6V7pdw2YnZWileyQ+cIY0AAkkNPsVGDOgtwXFlg9vq7SZMzT7nczyPMzKAuRBKDfD5fjVN40jucPzc4NlL4YHR3aNjYMOGJ089dQlFRXo+/XQvJ08W4O3twv33j+bee0cxbJisoCFJknQxaW4A7YoaONe9+q7JMnaKomiBD4HpQDqQqCjKahsXIn4jhHi4+VNuhZRl6m1kC2tGS22ygZ+sVopNmNjJDvVBOJziJM4444ILzpZ7XnjVPFZvax8548wqVlJGqdX5dHjL4PkCOJYHH+6CRfugWA+je8HfI4/w0uxBuHST+s22Gp48/PB6AKKjw3jllWhuuGEQrq7yegpJkqSLUXM7Ed7VimOPA44LIU4CKIryNTALuLCVPKpbd/eaBLp+F/TUF6s8cvmFrZRQ0uiYp3iGnb/sZOrlU1Fo2acCevTyYj87atjwJG4q3DoUfjoO/94JP50ARw3cNFhtsz2+N2zdmo2Lw6COnnq7qKoy8fjjP1k1PAEICvIkPv7ODpiVJEmS1Jk0GUArivK0EOJNRVH+jY2L6IUQjzaxe2/gTJ3H6cB4G+NuVBTlciAFeEwIccbGmNbL3QcFSTD5v+16WMlaLjlsJYED7EeLFiecMdRm/NTQ4Y0nnmjN2hYHzyAv9rOnxhqePL4BzpVBTw94aTLcP1q9310YDCY2bTrJd98lsXLlUQoKKm2Oy8pq/JdCSZIk6eKhCGGruJTlSUW5VgixRlEUm0suQoglTew7G5gphLjX8vh2YHzddA1FUXoApUIIvaIo9wNzhBBW1+UrihILxAL4+/uPXr58efNeHRB+9j/0zl/BH5HfY3SQ3QftocytlNOhp8gOOIvGrKFPRjDB6aEUeOdzdEASZm1t4RaNScPA5MH0PNeL0tJSPDy6URTWDdyyYwLZeher7Y6KmWcGHOUyvxwcNdZ/Z3TF99JgMLNrVz4JCbn88UcuZWUm3N21XHKJH4mJ+RQWWq9ABwY68/XXEzpgthdGV3wfJdvke9l9yPeyY02ZMmW3EGJMw+1NBtA1gxTFRQhR2WCbnxAit4l9JgIvCSGusDx+FkAI8Voj47VAvhCiycqwAwYMEMnNLWNnNsKSYAicAFetaN4+UrOd5SxbiSeJwzjiyDgmcAmT8KD2D3pTVTgSEhKIjo7umMlLNYxm2J0Jm07B/8XbHqMA5hcaP0ZXeS8rKqr4+ecTfPttEmvWJFNSYsDb24Xrrx/ITTcNJiamL87ODlY50KA2PFm48NpuXYKuq7yP0vnJ97L7kO9lx1IUxWYA3dxLfnYqihIrhNhuOdiNwGtAZBP7JAL9FUXpi1pl4xbgzw0m1UsIkWV5eB1wpJnzaZ70LVB+VrbubmdZZJJAPEdIwhlnLmMyE7kEd9ytxsqycJ2PEHA0Vw2YN5+C+NPqxYCg5jZX2aj03pUbnpSXV7F+/TG+/TaJtWtTKCurwtfXlZtvHsJNNw1mypS+ODnVrwteHSTLhieSJEmSLc0NoOcCnymKkgAEAT2AJlsgCCGMiqI8DPyMWsbuMyHEYUVRXgF2WepKP6ooynWAEcgH5rXqVTQm+Qtw9obQq9r1sBerDNLZSjxHOYoLLkQzhQlcghtu599Z6lAZxWqwXB00Z1pSefv5wC1DIKYvTAmDDSfr50BD52940rDcXFxcDLNmDWDdOjVoXrfuGOXlVfj7u3HbbcOYPXswkyeH4uho3UynLtnwRJIkSWpMc6twHFQUJQ74AigBLhdCpDdjv3XAugbbXqhz/1ng2RbNuLkMpXDyB7V0nYN1TqfUfGc4QwJbOEYKrrgylRjGMxFXXDt6al2GrcoWbY3NmjpmYSUknK4Nmo9akq383WBqX5jWVw2a+/rUP2b1/l2l4YmtcnN33rkCRQGjURAY6M68ecOZPXswl10WioODpoNnLEmSJHUHzQqgFUX5FAgHhqGmbaxVFOXfQogP7Tm5Njm1EozlMn2jmWzlKnvjQwJbOMFx3HBjGjMYx3hckL+QtIStyhb3rYEyA/w5Sk2bcNSqHfzacsx7VsPyw3C2FHZlgVmoq8eTQ+HekWrQHBV4/vN0pYYnzz232arcnMkk8PR0Yu3aPzNpUjBarQyaJUmSpPbV3BSOg8C9Qr3i8JSiKOOBd+w3rXaQ8iV4hqr1n6Um2eoY+APfIRC44850rmAc42WTklYQAh7/uX5KBECFEe7/Uf2uplXUQLo6oHbUqO2v625zstzfdxb0DRo06k2wOgUu6QP/d5kaMI/vo+7T3WRnl7J48T7S0opsPl9aauDyy0Mv8KwkSZKki0VzUzjebfC4CLjHHhNqF2Vn4cxGGPUsKHL16Xw2sdGqY6BA4IILj/EkTjh10My6Lr0Rlh2Ct7fBufLGx705DapM6oV7VSYwVN83N7LdctsweK6mAL/fbZeX1OHMZsGmTSdZuHA3q1YlYzSacXbWorfxwwjpylc9SpIkSZ1ec1M4+qNW3RgMtZ/fCyE6Z2u/Y1+BMMOA2zp6Jp2SQJBPPmdII41Uiii0Oa6SShk8t1BhJfxvF7y/E7JKISoAerhCXoX12FAdPHVJ684T9p6attFQd4wbMzNLWLRoL598spfTpwvp0cOVv/51PPfeO4rdu7NslpuLi4vpwBlLkiRJ3V1zUzgWAS8C/wKmAHcBnXdpN+VLCBgDPgM7eiadQhVVZJJBGmmcsXyXUQaAM8444IARo9V+Orwv8Ey7rtRCeHcHfLIXSg1q+sTiWTC9n7oS3d6VLeKmdr1qGS1hMpn5+ecTLFy4m7VrUzCZBFOn9uX112O4/vqBODurf3UNHOgHyHJzkiRJ0oXV3ADaVQixWVEURQiRCrykKMpuoInWCh0kP+n/27vz+Kqqq//jn50QAgkhCIR5HmVSZgQUQcERUKttVZyqiFX5idYRedo+tbV1rLUV0BRofSqUKi0VEFTERssokCBzmEmYx8xkuMn+/XEChOSG3Btyc4d8375o77DPuSvZDa6erLMWHE+Eq//g70h84mKDSc7KIKP46rKTLB/mEIU4v+ZuRCM604U2tKE1bYkjjk1svKAGGiCCCEYyqjq/tKCUeBjeWuXcvGeM0xLu2cHQu9n5Nb7obBFs3TI8lZqazqxZScycmURqagZNmkTz3HNDGD++L506NXR7jNrNiYhIdfM0gc4zxoQBO4t7Ox8EAnOuZPJHYMKh893+jqTKubvZbwH/Jo006lDnXNKcxmkAalGLlrRiMEOLE+Y25Q47ASpMzMVhLXy+y0mcv94H9WrDpEHw9CBoXU4JhS86WwRTt4yLcbmKWLx4J/Hx61myZBdFRZYbbujIO+/cyJgxXcsMOREREfE3TxPoSUAU8BTwa5whKg/6KqhKs0WwYza0vgGimvo7mirn7ma/AgpYxlIAYoihDW25isG0oQ3NaE4tD7dYEwMrll8IczbB26th8zFoEePcBPhoX2igzn4VKj3w5Omnr+LkyRxmzdrAoUOZNG9ej8mTr+aRR/rQvnSDahERkQDiaReOtcUPs3DqnwPTof9CVgoM/p2/I6lyFlvuzX4AP+N5YonF4EUzYfFIWi7Er4d3v3Mm+PVs4tQ339MzNFvE+YK7gSfPPPMFALfc0plp027h1lu7aNCJiIgEhYsm0MaYBRd731o7tmrDuUQ7PoKIetD+dn9HUmWKKGILm/mWb8pdE0sDGuiGvypRcrpfixini8byVOfGwOvbw8wxcGNHp95ZPHPsWDaTJi0pM/AEoGXLGD777F4/RCUiIlJ5FV2BHgykAn8H1kAAX9505cKuT6DDDyAiyt/RXDIXLjaygf/yLSc5SWPi6M9AvidJN/v5SOnpfgcznT+DW8F7N0Pf5v6NL1hYa9m69TgLF+5gwYJkVq8+gLXu1x46lFm9wYmIiFSBihLoZsAo4B7gXuAz4O/W2i2+Dsxr+xZBfnrQj+7OJ59E1rOC/5JOOs1pwY+5h250J4ww2tJWN/tVEWudK83fHYK1B53eze4GlBzKVPJcEZeriGXL9rBw4Q4WLtzBnj3Ojaz9+jXnl7+8lg8+WM/hw1lljtPAExERCUYXTaCttYXA58DnxphInEQ6wRjzK2vte9URoMeS/wZRzaHlCH9HUim55PIda1jFCrLJpi3tGMsddKLTBXXNutmv8o5lO4ny2kPn/xwvnhIYEeZM+HOnnGnRNd6pU2dYsmQnCxfuYNGi7WRn/5fIyHBGjuzACy8MYfToLrRsWR+ATp0aaeCJiIiEjApvIixOnG/FSZ7bAX8E5vs2LC+dOQEpi+GKSRAWXHd1ZZPNKlbyHavJJZdOdGYYw2lHO3+HFtBK1iq764GckQfrSyTK3x06nwgboHsc3NoZBrRw/lzRFLpOrTnT/S6mdLeMkoNJdu48ea40Y/nyFAoLLU2aRDNsWByPPXYtI0d2IDq67PTKs8dr4ImIiISCim4i/D+gJ7AY+JW1dnO1ROWtXR9DkatS5RueDCbxhXTSWcly1rEWFy660Z1hXEsLWvr8s4Nd6Vrl/ekwfgF8sdt5vvYQJJ+As2W37RvAVS3hqYFOsty3udO7ubRQn+7nCXfdMh555FP+/vdN7N59mu3bTwDQq1cTXnxxKGPHdmXAgJZ8++03DB9+8cmfGngiIiKhoqIr0PcB2Th9oJ8y51sPGMBaa+v7MDbP7fgIGvaERld4dVh5g0kAnyXRJznJcr5lA0lYLFdwJdcwjDia+OTzQtFLyy5McgFyC+FvG6FZPSdJvren89/9W0BjD+8pDdXpft6YMmVZmW4ZeXmFfPbZTkaO7MATT/RnzJiutGvXwD8BioiIBICKaqADvylr2i44sgoGv+51b7HyBpPM5598zwbql/gn5tyjWKKIqrDfcukr2wMZxFGOsImNhBNOX/pxNcO4DA2MqMiZAlieAsv2wld74UCG+3UGOPTMpbWYC5XpfpVx5EgW+93VsOB8T5cuDe4bdEVERKqKp5MIA9eO2YCBLt73ki1vMEkRReSQzREOk002lgt7cIUTXiqpvvDxQQ6yrERynk4aS/mCcMIZwlCGMJQYAuPifSAqLILEw06y/NUeWJHqdMeICHNaysVGQnpe2ePaxKo/s7eKiixLl+7mz39O5NNPk8tdp24ZIiIi5wV3Am2tU77RcgTUa+X14bE0cJtEx9KAn/IkAIUUkkkmGWQU/2fGBY8PcYhktpe5ku1ONNHcyM1exxnqrIWdp5xk+au98J99zvQ/gCubwpMDYGR7uKatU7tcugYaal6t8qU6dCiTv/wliRkzkti3L43GjaOYNGkQzZrV45e/TFC3DBERkYsI7gT66BpI3wX9Xq7U4ddzPf/inxe8VnowSTjhxXP+GpR7HovlDGfOJdV/40O36zIop/YghJXXLeNIFiw92oQPP3VKM1KLvzVtY+HObk7CfF17aBJd9pyqVa6cwsIivvxyN/HxiSxcmExhoeW669rz2mvXc/vtlxMZ6fx10Lx5jLpliIiIXERwJ9A7PoLwOtDxzkodXhfn7rIoosghp9JdOAyGqOJ/mtLsole2axJ33TIe+hRe+goOZAJ0p2FduK4dTLnGSZo7XOZZGUZNrlX21oEDGcyalcTMmUmkpKTTpEk0zz03hPHj+9KpU8My69UtQ0RE5OKCN4EuzIedc6H9bVC7cvXESSQSTTTP8SLhVF3/6JGMuqC7B9TMkdsvf122W4arCE6cgdevhwan1jF+dH/CVLdc5VyuIpYs2cmf/5zIZ5/tpKjIMmpUB95++wbGju1K7drB1S9dREQkkARvAp3yBeSehK73VerwbLLZzjauYkiVJs9wvgVeTR25XWTh39vLn+CX54IXhkJCQpaS50vgbuDJNde0YebMRGbOTOLgwUyaNavHiy8OZfz4vnTooI4vIiIiVSF4E+jkv0GdxtD6xkod/j0bKKKIvvSt4sAcNXHktqsI/rEFfrscth6HWmHOa6WpocOlczfw5IEH5lNUZDEGbryxE3/6082MHt2FiAhdbRYREalKPk2gjTE3Ae8C4cAMa+1r5ay7E5gHDLDWrqvwxHnpsG8BdH8UwiO8jstiSWI9LWlFE5p6fbxcKL94iMnvlsPu09AjDub8wEmef/qZumVUtcLCIp5//ssyA0+KiiyxsZFs2PBTDToRERHxIZ8l0MaYcGAqMAo4AKw1xiyw1m4ttS4GZ9LhGo9PvnseFOZVanQ3wCEOcpSjjOG2Sh0vjjMFMGsDvL7C6aLRrznM/xGM7cq50owwo24ZlyorK581aw6wYkUqK1aksnr1ATIy3DTCBjIy8pQ8i4iI+Jgvr0APBHZZa/cAGGPmArcBW0ut+zXwOvC8x2fe8RHEdoYmAyoVWCLrqUUteuHd6G9xZOXD++vgrVVwNBuGtob40XBjx7IdNNQtw3sHD2YUJ8sprFiRyoYNRygsdEozevRowj339GTevK2cPHmmzLEaeCIiIuJ7vkygWwKpJZ4fAAaVXGCM6Qu0ttZ+ZowpN4E2xkwAJgA0b9IIDu5gb9xD7P/mG6+DKgwrJGlwIo1ONWb1ttVeH1+TZblqMf9gS+YdbEWGK4J+DU7x0hX7uTI2HXMAvjng5fmyskhISPBJrIHmq6+OMmPGXo4dy6NJk0jGj2/PyJFNKSy07N2bzebN6WzenMHmzekcPepcXY6MDKNbtxjuuac1PXvWp0ePWOrVc35kGzduy1tv7SAv73yReWRkGPfd19wv39OatJehTPsYOrSXoUN7GZj8dhOhMSYM+D3wUEVrrbXxQDxAr45xFqD9jT+nfWwHrz93I9/jwsXNTW+hQ9OOXh9fEx3Phj+sgffWQ0YejOkCU66GQa0aAmX7CHsqISGB4cOHV1mcgWr27E28887KczXLR4/m8cYbO/j001OkpKSfK8do3rwe11zTkaFDWzN0aGt6925W7g2Aw4dDt25lu3D4q39zTdnLUKd9DB3ay9ChvQxMvkygDwKtSzxvVfzaWTFATyDBOL/3bwYsMMaMvdiNhJEFJyAsEo6ugkok0ImspwGX0Y72Xh9b0xzKhLdWwgeJTr3zXd3h5auhdzN/RxZcJk/+qswNfwUFRSQnn+CRR/owdGgbhg5tTbt2DTCeTJEppoEnIiIi/uHLBHot0NkY0x4ncb4buPfsm9badKDx2efGmATgOY+6cBTlwX8mOI+7jPM4oDROs5c9DGcEYYR5fFxNUHLkdosYuLwx/DcFCoucGuaXhkK3OH9HGVy2bTvOtGlrSU11P8Ld5Spi+vTR1RyViIiIXCqfJdDWWpcxZiLwBU4bu1nW2i3GmFeAddbaBZf0Aa4cWDXFqwQ6iSQA+vio93OwKj1y+2Cm82dEW5gx1hmvLZ5xuYpYuDCZqVPXsmzZXmrXDic6OoLs7IIya3XDn4iISHDyaQ20tXYxsLjUa78oZ+1wrz8gK8XjpUUUkUQi7elAA5QRgjMxcN0heGJx2ZHbAHvSlDx76tixbGbMSOT999eRmppB69b1+e1vr+ORR/qydOmeC4aeAERFRfDqq9f7MWIRERGprOCdRAhQr43HS/exlzROM5JRPgwo8OUXQsI++HcyfJrs1DmXp7xR3OKw1rJmzUGmTl3Lxx9vIT+/kJEjO/DHPzoTAGvVcsqEztYpB8oNfyIiInJpgjeBrhUFg1/1eHkSidShDt3o7sOgAlNGHizZBf/eDot3Oc+jIuCmjnBbV5jyHzjgpkxXFQbunTlTwNy5m3nvvbUkJh4mJqY2jz3WjyeeGMDllzd2e4xu+BMREQkdwZlA12vrJM8e1j/nkssWNtOHvkTg/ejvYHQoExYUX2VethcKiiAuCu7qBrd3hZEdoG7xtyI87MIaaNDIbXf27j3N9OnrmDkziVOnztCjRxzTpt3CffddQUxMpL/DExERkWoSdAl0Zt0u8GCyV8dsYiMuXPSln4+iqj4lu2WUHI1tLWw/cb40Y01xw8COl8FTA+H2y2FwKydZLu3shVGN3HZ6NpcstfjNb66jUaO6TJ26lsWLdxIWZrjjjm5MnDiAYcPaetV2TkREREJD0CXQlZFEIk1oSgta+juUS1K6W8b+dHhkAczdDDtOwY6Tzuv9W8BvRjhXmrvHlR2v7Y5GbjvJc8mb/fbvT+eBB+ZjLTRtGs3Pfz6MCRP60bJlfT9HKiIiIv4U8gn0MY5ygFRu4hYMwX21cMrXZbtl5BXCop0wqgNMGghju0Ir5XeV8vLLy8oMPLEWGjeuS0rKM9Su7X4qoIiIiNQsIZ9AJ5JIGGFcSW9/h3JJimz5XTEM8OV91RpOSNm48Shz5mwipZxv8MmTZ5Q8i4iIyDkhnUAXUsj3JNGVy4km2t/hVIqrCP6xBX63HGw5a9Qtw3v796fx979vZvbsTWzefIzwcEOdOrXIzXWVWauBJyIiIlJSSM+z3kEy2WQH5c2DeS6IXw9dp8J9853XnujvdMcoSd0yPHfyZA7vv7+OYcP+Qrt27zJ58jLq149k6tRbOHz4WWbMGEtUqW+wBp6IiIhIaSF9BTqJ9dSjHp3o7O9QPJadD39OhLdWOeO0+7eAt0c5tc1hBoa0VrcMb+TkFLBgQTJz5mzi8893UVBQRLdujfnNb0Zw7729aN/+/KhFDTwRERERT4RsAp1JJjvYwRCGEk7g16+m5cLUtfCHNXAiB65tC38Z6/RrLtlFQ90yKuZyFbFs2R5mz97E/PnbycrKp2XLGCZNGsS4cVdw5ZVNy20/p4EnIiIiUpGQTaC/ZwNFFNEnwMs3jmc7SfN7a50JgTd3gilXw1DPp5TXSKX7Nb/66nV06tSQ2bM38Y9/bOHYsWxiYyP58Y97MG5cL4YNa0u4uybYIiIiIl4KyQTaYkliPa1pQxxx/g7HrQMZTplG/HrIdcGd3eDlq6FPc39HFvjc9Wu+/36nX3NkZDijR3dh3Lhe3HJLZyIjQ/J/4iIiIuJHIZldHOAAxznObdzu71DK2H0KXl8Jf93gtKa77wp4cQh0C8w8PyBNnvyV237NjRrVZffup4iNreOnyERERKQmCMkEOon1RBBBD/xXy1p65Pbj/WHjUZi7BSLCYHxfeGEItGvgtxCDirWWdesOER+/ntTUDLdrTp06o+RZREREfC7kEuh88tnERnrQkzr4J5lyN3L7pWVQOwx+dpXzp3mMX0ILOunpucyZs4n4+EQ2bDhCVFQE0dERZGcXlFmrfs0iIiJSHUIugd7GVvLIq/abB9NyYcdJ2HkKnlxcduQ2QJN68Oaoag0rKFlr+e67g8THr2fu3C3k5BTQu3czpk27hXvv7cWiRTsvqIEG9WsWERGR6hNyCXQi62lIQ9rRzqP1pUstLtZXOacAdp06nyjvOHn+8fGcij/roPvKAymWlpbLRx9tJD5+PZs2HSM6OoJx43oxYUI/+vVrfq71nPo1i4iIiD+FVAJ9ilPsZQ/XMRKD+z6/JbkrtZiwEI5kQddGpRLlU07njJKa14MujeD2y6FzQ+dxl4Zw02xIcZMsq8KgLGstq1YdID5+PR9/vIUzZ1z069ecDz4YzT339CQmJtLtcerXLCIiIv4SUgn0BhIxGPrQx6P1U74uW2qR44Lnlp5/flkdJzEe0c5JjjsXJ8mdGkI5uR2/vf7CxBw0cru006fP8M9/HmDixOls2XKcevVq88ADV/Loo33p16+Fv8MTERERKVfIJNBFFJFEIh3pRCwNPDomJb3891b+xEmcG0V5H8vZC6MauX3hwJPWrWN58MEr2bcvjU8+2UpurosBA1rw5z+P4e67e1KvXm1/hysiIiJSoZBJoPewh3TSuYGbPD6mTaxTtlFa21gY3PrS4tHI7bIDT1JS0vn1r78lMjKchx/uQ58+RTz66Bg/RykiIiLinZCZbZzEeupSl8vp5vExvxpOmUpplVpUnRdeWFpm4AlAkybRTJt2K507q5efiIiIBJ+QSKDPcIZtbOUKriSCCI+PM4AFmkQ5j9vGQvxoXTm+VN9/f4Rx4/7FoUOZbt8/UPpuTBEREZEg4tMSDmPMTcC7QDgww1r7Wqn3fwo8CRQCWcAEa+1Wbz9nE9/jwkUf+np8jLXw5iro2QQ2Pgam4qYdchHWWr79dj+vv76CJUt2Ua9ebWJiapOZmV9mrQaeiIiISDDz2RVoY0w4MBW4GegO3GOM6V5q2RxrbS9rbW/gDeD3lfmsRBJpRjOa43n3hs93weZj8PxgJc+XoqjI8u9/b2fIkFkMH/4h69Yd4tVXryMl5WmmTx9NVNSFvxHQwBMREREJdr68Aj0Q2GWt3QNgjJkL3Aacu8JsrS35u/xonIoKrxzhCIc4yC3c6lHv57PeWAktY+Dunt5+ogDk5xcye/ZG3nhjJdu3n6B9+wZMm3YLDz3Um7p1naRZA09EREQkFBlrvc5ZPTuxMXcBN1lrxxc/vx8YZK2dWGrdk8DPgNrAddbanW7ONQGYABAXF9fv448/Pvfezo7JHGiZytBVw6hd4FkbtO2ZMTye1I/HO+ziR60OVO4LrKFyclwsWnSYTz45wIkT+XTsGM2997bh2mvjCA/37lJ+VlYW9erV81GkUp20l6FB+xg6tJehQ3vpXyNGjFhvre1f+nW/t7Gz1k4Fphpj7gX+B3jQzZp4IB6ga9eudvjw4QC4cLGaFXSnBzcMvcHjz5w2D+pHwms/7ET9yE5V8FWEvmPHsvnjH9cwdep60tJyGT68HS+9NJQbbuh4bsS2txISEji7lxLctJehQfsYOrSXoUN7GZh8mUAfBEp2U25V/Fp55gLTvfmAHSSTQ45XNw/uPgX/3ObUPtcvZ5KgnLd372neemsls2ZtIC/PxR13dOPFF4cycGBLf4cmIiIi4he+TKDXAp2NMe1xEue7gXtLLjDGdC5RsnErUKZ842ISWU8MMXSis8fH/H41hBt4apA3nxT6Sk4MbNMmlsce68emTcf4+OMthIUZHnjgSp5/fghduzb2d6giIiIifuWzBNpa6zLGTAS+wGljN8tau8UY8wqwzlq7AJhojBkJFACncVO+UZ4MMtjJDq5mGGEeNhM5ng2zNsD9V0ALzfA4p/TEwP3703n55a+JjAznmWeu4umnr6Jly/p+jlJEREQkMPi0BtpauxhYXOq1X5R4PKmy5/6eDVgsfb0o35i6FnJd8Nzgyn5qaJo8+Su3EwPj4qJ5803Pa8tFREREagK/30RYGRZLIutpQ1sa4VlJQU4BvLcWxnSBbnE+DjBI7Np1ivffX0dqqvvJgAcPamKgiIiISGlBmUCnksJJTnANwzw+5i8b4OQZeGGI7+IKBi5XEYsW7WD69HV8+eVuatUKIyqqFjk5rjJrNTFQREREpCyfTSL0pUTWU5va9MCzKSiuInh7FVzVEoa2rnh9KDp8OJNf//ob2rd/lzvu+AdbthzjlVeGk5LyNPHxYzUxUERERMRDwXcF2sBmNtGDnkTiWR+6f22DvWnw9g01a2y3tZaEhH1Mn76O+fO343IVccMNHfnTn25m9Ogu1Krl/P8nTQwUERER8VzQJdAFtQrIJ5++9PNovbXO2O7ODWFsFx8HFyDS0nL5v//7nvffX8e2bSe47LI6TJo0iMce60fnzo3cHjNuXC8lzCIiIiIeCLoEOrfOGcII4zSnaUu7Ctcn7IP1h+GDWyE8KAtWPJeYeJjp09cyZ85mcnIKGDiwJX/962386Ec9qFs3ouITiIiIiEiFgi6BBiiiiIV8isFwJb0vuvaNldAkGh64snpi87XSA09++ctrCQszTJ++jjVrDlK3bi3GjevF448PoG/f5v4OV0RERCTkBGUCDVBAAV+x9KIJ9Maj8Plu+M0IqBO0X+l57gaePPzwAgAuv7wx7757Ew88cCUNGtTxZ5giIiIiIS2o08p00i76/lurIDoCHu9fPfH42pQpy9wOPGnSJJqtW5/A1KQ7JEVERET8JKirgmNpUO57qenw980wvi80rFt9MfmCtZYlS3ayf3+62/ePH89W8iwiIiJSTYL2CnQEEYxkVLnv/2GN04HjmUHVGFQVKyws4p//3MbvfrecDRuOEB5uKCy0ZdZp4ImIiIhI9QnKBDqWBoxkVLn1z2m5EJ8IP+4BbRtUa2hVIj+/kI8+2shrry1n585TdO3aiL/+9TaMMTz++GcXlHFo4ImIiIhI9Qq6BDomsz7P8vxF17y/DrLy4fkgG9udk1PAjBmJvPnmSg4cyKBv3+bMm/dDbr/9csKLe/CFh4dp4ImIiIiIHwVdAl2RPBe8+x2M6gC9m/k7Gs+kpeUybdpa3nlnNSdO5DBsWFtmzBjDDTd0LFPbrIEnIiIiIv4Vcgn0R5vgSBb87XZ/R1KxY8ey+cMfVjN16loyMvK45ZbOTJ58NVdf3cbfoYmIiIhIOUIqgS6y8OZK58rz9e39HU359u9P4623VjJjRhJ5eS5++MMeTJ58Nb2D5ZK5iIiISA0WUgn0oh2QfBLm/AD83dWt9MTAV1+9nn79mvP66yv46KONGAP3338FL754NV26NPJvsCIiIiLisZBKoN9YCW1j4Yfd/RuHu4mBDz44n8JCS926tXjyyQE8++xgWrdW+zkRERGRYBMyCfTKVFiRCu/eCLX8PB7G3cTAwkJL/fqR7Nr1/4iLi/ZTZCIiIiJyqUImgX5zpTNx8JE+/oshP7+Qr7/eW+7EwMzMPCXPIiIiIkEuJBLo5BPwaTJMuQaia1fvZ+fmuli6dDfz5m1jwYJk0tJyMcaZgliaJgaKiIiIBL+QSKDfXg21w+H/DayezztzpoDPP9/FvHnbWLgwmczMfBo0qMNtt3Xlrru6c/JkDk88sVgTA0VERERCUNAn0Eey4MPv4Se9oYkPqyOysvJZvHgn8+ZtZfHinWRnF9CoUV1+/OMe3HVXd0aMaE/t2uHn1teqFa6JgSIiIiIhyKcJtDHmJuBdIByYYa19rdT7PwPGAy7gOPCwtXa/N5/xp++goBCevaqKgi4hIyOPRYt2MG/eVpYs2UVuroumTaO5//4ruOuu7lx7bTtqlXPHoiYGioiIiIQmnyXQxphwYCowCjgArDXGLLDWbi2xLAnob63NMcY8DrwB/NjTz8jMg2nr4I7LoXMlWymX7tf88svXEBkZzrx52/jyy93k5xfSokUMjz7al7vu6s7Qoa0JD/dzmw8RERER8RtfXoEeCOyy1u4BMMbMBW4DziXQ1tr/lFi/GrjPmw+YmQRpufDCkMoF6K5f82OPLQKcG/4mThzAnXd256qrWhEW5ufJLCIiIiISEHyZQLcEUks8PwAMusj6R4Alnp68oBB+vxquaQODWlUuQHf9mgGaNavHvn2TMP4eZygiIiIiAScgbiI0xtwH9AeuLef9CcAEgLi4OBISElh6tAmpGd15vPUmEhJOVupzU1Lc92s+ejSLb775plLnFM9lZWWRkJDg7zCkCmgvQ4P2MXRoL0OH9jIw+TKBPgi0LvG8VfFrFzDGjASmANdaa/PcnchaGw/EA3Tt2tVee+1wJsVD9zh48Qe9qGx1RdOm6zhyJLvM623axDJ8+PDKnVQ8lpCQoO9ziNBehgbtY+jQXoYO7WVg8uXdcGuBzsaY9saY2sDdwIKSC4wxfYAPgLHW2mOenvjL3bDxKDw3mEonz2fOFGCMoXSVhvo1i4iIiMjF+CyBtta6gInAF8A24GNr7RZjzCvGmLHFy94E6gGfGGM2GGMWlHO6C7y5ClrEwL09Kx/fL37xHw4fzuKFF4bStm0sxkDbtrHEx49R+zkRERERKZdPa6CttYuBxaVe+0WJxyO9PWduUTjL9sLr10NkJaNfuTKVt99exWOP9eO110by2mtehyEiIiIiNVTQNTROyYnCAA3rVu74nJwCHnro37RpE8ubb46q0thEREREJPQFRBcOb1lg0hdQNwK8rbaYMmUZO3ee4uuvHyAmJtIn8YmIiIhI6Aq6K9Bn5RTAlK+9O+bbb/fz7rtrmDhxACNGtPdNYCIiIiIS0oI2gQYop42zW9nZ+fzkJ5/Svv1lqnkWERERkUoLyhKOs9rEer72xRe/Yu/e03zzzUNER9f2XVAiIiIiEtKC9gp0VAS8ep1na7/+ei9Tp65l0qRBXHNNW98GJiIiIiIhLSgT6LaxED/asxsIMzPzePjhT+ncuaEGpIiIiIjIJQu6Eo4u9TJJnuT5+uefX0pKSjrLlz9MVFSE7wITERERkRohKK9Ae+rLL3fzwQfrefbZwQwZ0trf4YiIiIhICAjZBDo9PZfx4xdw+eWNeeWVEf4OR0RERERCRNCVcHjq2We/5ODBTFaufJi6dVW6ISIiIiJVIySvQC9ZspOZM5N44YUhDBrUyt/hiIiIiEgICbkE+vTpM4wfv5AePeL43/8d7u9wRERERCTEhFwJxzPPfMHRo1ksWHA3kZEh9+WJiIiIiJ+F1BXohQuT+fDD73n55Wvo16+Fv8MRERERkRAUMgn0qVNnmDBhEVdc0ZT/+Z9h/g5HREREREJUyNQ4PPXUEk6cyGHJknHUrh3u73BEREREJESFxBXo+fO3MXv2Jn7+82H07t3M3+GIiIiISAgL+gT6+PFsHntsEX36NGPy5Kv9HY6IiIiIhLigL+GYOHEJaWm5LFv2ABERKt0QEREREd8K6gT644+38PHHW3j11evo1aupv8MRERERkRogaEs4jh7N4oknPmPAgBa88MJQf4cjIiIiIjVEUCbQ1loef/wzsrLy+etfb6dWraD8MkREREQkCAVlCcfcuZuZP387b7wxku7d4/wdjoiIiIjUID69dGuMuckYk2yM2WWMecnN+8OMMYnGGJcx5i5PzrljRyb33fcvOna8jJ/9bHDVBy0iIiIichE+S6CNMeHAVOBmoDtwjzGme6llKcBDwBxvzl1UBAcPZjJ37paqCFVERERExGO+vAI9ENhlrd1jrc0H5gK3lVxgrd1nrd0IFHl78txcF1OmLKuaSEVEREREPOTLGuiWQGqJ5weAQZU5kTFmAjDBedb83OspKekkJCRUNj7xs6ysLO1fiNBehgbtY+jQXoYO7WVgCoqbCK218UA8gDEt7NnX27SJZfjw4f4KSy5RQkKC9i9EaC9Dg/YxdGgvQ4f2MjD5soTjINC6xPNWxa9ViaioCF599fqqOp2IiIiIiEd8mUCvBTobY9obY2oDdwMLquLEbdvGEh8/hnHjelXF6UREREREPOazEg5rrcsYMxH4AggHZllrtxhjXgHWWWsXGGMGAPOBy4AxxphfWWt7XOy8XbrEkJz8tK/CFhERERG5KJ/WQFtrFwOLS732ixKP1+KUdoiIiIiIBAXNwBYRERER8YISaBERERERLyiBFhERERHxghJoEREREREvKIEWEREREfGCEmgRERERES8ogRYRERER8YISaBERERERLyiBFhERERHxghJoEREREREvKIEWEREREfGCEmgRERERES8ogRYRERER8YISaBERERERLyiBFhERERHxghJoEREREREvKIEWEREREfGCEmgRERERES8ogRYRERER8YISaBERERERLyiBFhERERHxghJoEREREREvKIEWEREREfGCTxNoY8xNxphkY8wuY8xLbt6PNMb8o/j9NcaYdr6MR0RERETkUvksgTbGhANTgZuB7sA9xpjupZY9Apy21nYC3gFe91U8IiIiIiJVwZdXoAcCu6y1e6y1+cBc4LZSa24DPix+PA+43hhjfBiTiIiIiMgl8WUC3RJILfH8QPFrbtdYa11AOtDIhzGJiIiIiFySWv4OwBPGmAnAhOKnecaYzf6MR6pMY+CEv4OQKqG9DA3ax9ChvQwd2kv/auvuRV8m0AeB1iWetyp+zd2aA8aYWkAscLL0iay18UA8gDFmnbW2v08ilmqlvQwd2svQoH0MHdrL0KG9DEy+LOFYC3Q2xrQ3xtQG7gYWlFqzAHiw+PFdwNfWWuvDmERERERELonPrkBba13GmInAF0A4MMtau8UY8wqwzlq7AJgJ/M0Ysws4hZNki4iIiIgELJ/WQFtrFwOLS732ixKPc4Efenna+CoITQKD9jJ0aC9Dg/YxdGgvQ4f2MgAZVUyIiIiIiHhOo7xFRERERLwQsAm0xoCHDg/2cpgxJtEY4zLG3OWPGKViHuzjz4wxW40xG40xy4wxblv/iP95sJc/NcZsMsZsMMYsdzNFVgJERXtZYt2dxhhrjFE3hwDlwc/lQ8aY48U/lxuMMeP9Eac4AjKB1hjw0OHhXqYADwFzqjc68ZSH+5gE9LfWXoEzWfSN6o1SPOHhXs6x1vay1vbG2cffV2+U4gkP9xJjTAwwCVhTvRGKpzzdS+Af1trexX9mVGuQcoGATKDRGPBQUuFeWmv3WWs3AkX+CFA84sk+/sdam1P8dDVO73cJPJ7sZUaJp9GAbpYJTJ78uxLg1zgXmXKrMzjxiqd7KQEiUBNojQEPHZ7spQQ+b/fxEWCJTyOSyvJoL40xTxpjduNcgX6qmmIT71S4l8aYvkBra+1n1RmYeM3Tv2PvLC6Tm2eMae3mfakmgZpAi0iQMsbcB/QH3vR3LFJ51tqp1tqOwIvA//g7HvGeMSYMp/zmWX/HIlViIdCuuExuKed/Cy9+EKgJtDdjwLnYGHDxO0/2UgKfR/tojBkJTAHGWmvzqik28Y63P5Nzgdt9GZBUWkV7GQP0BBKMMfuAq4AFupEwIFX4c2mtPVni79UZQL9qik3cCNQEWmPAQ4cneymBr8J9NMb0AT7ASZ6P+SFG8Ywne9m5xNNbgZ3VGJ947qJ7aa1Nt9Y2tta2s9a2w7k3Yay1dp1/wpWL8OTnsnmJp2OBbdUYn5Ti00mElaUx4KHDk700xgwA5gOXAWOMMb+y1vbwY9hSioc/k28C9YBPiu/nTbHWjvVb0OKWh3s5sfi3CQXAac5frJAA4uFeShDwcC+fMsaMBVw4ec9DfgtYNIlQRERERMQbgVrCISIiIiISkJRAi4iIiIh4QQm0iIiIiIgXlECLiIiIiHhBCbSIiIiIiBeUQIuIBBhjTKExZoMxZosx5ntjzLPFU+XOvj/QGPOtMSbZGJNkjJlhjIkqdY7+xpg/+iC24caYIVV9XhGRYBKQfaBFRGq4M9ba3gDGmCbAHKA+8EtjTFPgE+Bua+2q4jV34Uydyzl7guJhGb4YmDEcyAJW+uDcIiJBQVegRUQCWPFUxwk4w00M8CTw4dnkuXjNPGvt0ZLHFV8pXlT8+H+NMbOMMQnGmD3GmKeKX29njNlujJltjNlmjJl39kq2MWafMaZx8eP+xce2A34KPFN8hfyaavgWiIgEHCXQIiIBzlq7B2c6WROgJ7C+Eqe5HLgRGIhzJTui+PWuwDRrbTcgA3jiInHsA94H3rHW9rbW/rcScYiIBD0l0CIiNcNn1to8a+0J4BjQtPj1VGvtiuLHHwFX+yU6EZEgogRaRCTAGWM6AIU4ie8WoF8lTpNX4nEh5++BsaXWnX3u4vy/I+pU4vNEREKWEmgRkQBmjInDKZt4z1prgfeAB40xg0qs+UHxzYWV0cYYM7j48b3A8uLH+zifqN9ZYn0mzg2LIiI1lhJoEZHAU/dsGzvgK+BL4FcAxTcL3g28VdzGbhtObXNmJT8rGXiy+DyXAdOLX/8V8K4xZh3OFeuzFgJ36CZCEanJjHNBQ0REaprirhqLrLU9/R2LiEgw0RVoEREREREv6Aq0iIiIiIgXdAVaRERERMQLSqBFRERERLygBFpERERExAtKoEVEREREvKAEWkRERETEC0qgRURERES88P8B+KFblMv/zZkAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "colors = get_cmap('jet')(np.linspace(0, 1.0, order))\n",
    "# hold(True)\n",
    "for i in range(order):\n",
    "    plot(u,maxima[i,:], 'o-', color=colors[i], label='State %d' % (i+1))\n",
    "grid(True)\n",
    "#text(umax/2, 0.05, 'DC input', horizontalalignment='center', verticalalignment='center')\n",
    "figureMagic([0, umax], None, None, [0, 1] , 0.1, 2, [12, 6], 'State Maxima')\n",
    "xlabel('DC input')\n",
    "ylabel('Maxima')\n",
    "legend(loc='best');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conclusions\n",
    "###Scaled coefficients"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "a, g, b, c = mapABCD(ABCD, form)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "adc = {\n",
    "       'order':order,\n",
    "       'osr':osr,\n",
    "       'nlev':nlev,\n",
    "       'f0':f0,\n",
    "       'ntf':ntf,\n",
    "       'ABCD':ABCD,\n",
    "       'umax':umax,\n",
    "       'peak_snr':peak_snr,\n",
    "       'form':form,\n",
    "       'coefficients':{\n",
    "                       'a':a,\n",
    "                       'g':g,\n",
    "                       'b':b,\n",
    "                       'c':c\n",
    "                      }\n",
    "      }"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Final ADC coefficients"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "ename": "NameError",
     "evalue": "name 'Table' is not defined",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mNameError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-18-c7f4ecb8fd42>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mt\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mTable\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      2\u001b[0m \u001b[0milabels\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0;34m'#1'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'#2'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'#3'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'#4'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'#5'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'#6'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      3\u001b[0m t.append(['Coefficients', 'DAC feedback', 'Resonator feedback', \n\u001b[1;32m      4\u001b[0m           'Feed-in', 'Interstage'])\n\u001b[1;32m      5\u001b[0m \u001b[0mt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mappend\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m''\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'a(n)'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'g(n)'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m' b(n)'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m' c(n)'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mNameError\u001b[0m: name 'Table' is not defined"
     ]
    }
   ],
   "source": [
    "t = Table()\n",
    "ilabels = ['#1', '#2', '#3', '#4', '#5', '#6']\n",
    "t.append(['Coefficients', 'DAC feedback', 'Resonator feedback', \n",
    "          'Feed-in', 'Interstage'])\n",
    "t.append(['', 'a(n)', 'g(n)', ' b(n)', ' c(n)'])\n",
    "[t.append(x) for x in izip_longest(ilabels, \n",
    "                                   adc['coefficients']['a'].tolist(), \n",
    "                                   adc['coefficients']['g'].tolist(), \n",
    "                                   adc['coefficients']['b'].tolist(), \n",
    "                                   adc['coefficients']['c'].tolist(), fillvalue=\"\")]\n",
    "t"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### System version information"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "application/json": {
       "Software versions": [
        {
         "module": "Python",
         "version": "2.7.10 64bit [GCC 4.2.1 (Apple Inc. build 5577)]"
        },
        {
         "module": "IPython",
         "version": "3.2.1"
        },
        {
         "module": "OS",
         "version": "Darwin 14.4.0 x86_64 i386 64bit"
        },
        {
         "module": "numpy",
         "version": "1.9.2"
        },
        {
         "module": "scipy",
         "version": "0.16.0"
        },
        {
         "module": "matplotlib",
         "version": "1.4.3"
        },
        {
         "module": "deltasigma",
         "version": "0.2.2"
        }
       ]
      },
      "text/html": [
       "<table><tr><th>Software</th><th>Version</th></tr><tr><td>Python</td><td>2.7.10 64bit [GCC 4.2.1 (Apple Inc. build 5577)]</td></tr><tr><td>IPython</td><td>3.2.1</td></tr><tr><td>OS</td><td>Darwin 14.4.0 x86_64 i386 64bit</td></tr><tr><td>numpy</td><td>1.9.2</td></tr><tr><td>scipy</td><td>0.16.0</td></tr><tr><td>matplotlib</td><td>1.4.3</td></tr><tr><td>deltasigma</td><td>0.2.2</td></tr><tr><td colspan='2'>Fri Aug 07 16:22:06 2015 CEST</td></tr></table>"
      ],
      "text/latex": [
       "\\begin{tabular}{|l|l|}\\hline\n",
       "{\\bf Software} & {\\bf Version} \\\\ \\hline\\hline\n",
       "Python & 2.7.10 64bit [GCC 4.2.1 (Apple Inc. build 5577)] \\\\ \\hline\n",
       "IPython & 3.2.1 \\\\ \\hline\n",
       "OS & Darwin 14.4.0 x86\\_64 i386 64bit \\\\ \\hline\n",
       "numpy & 1.9.2 \\\\ \\hline\n",
       "scipy & 0.16.0 \\\\ \\hline\n",
       "matplotlib & 1.4.3 \\\\ \\hline\n",
       "deltasigma & 0.2.2 \\\\ \\hline\n",
       "\\hline \\multicolumn{2}{|l|}{Fri Aug 07 16:22:06 2015 CEST} \\\\ \\hline\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "Software versions\n",
       "Python 2.7.10 64bit [GCC 4.2.1 (Apple Inc. build 5577)]\n",
       "IPython 3.2.1\n",
       "OS Darwin 14.4.0 x86_64 i386 64bit\n",
       "numpy 1.9.2\n",
       "scipy 0.16.0\n",
       "matplotlib 1.4.3\n",
       "deltasigma 0.2.2\n",
       "Fri Aug 07 16:22:06 2015 CEST"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#%install_ext http://raw.github.com/jrjohansson/version_information/master/version_information.py\n",
    "%load_ext version_information\n",
    "%reload_ext version_information\n",
    "\n",
    "%version_information numpy, scipy, matplotlib, deltasigma"
   ]
  }
 ],
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